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June 2024, Volume 5, Issue 3
- 1-20 Continuity estimates for Riesz potentials on polygonal boundaries
by Xavier Claeys & Muhammad Hassan & Benjamin Stamm - 1-21 Bifurcations and dynamical behaviors for a generalized delayed-diffusive Maginu model
by Xiaowei Ju - 1-28 Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields
by Pu-Zhao Kow & Henrik Shahgholian - 1-30 On the existence, regularity and uniqueness of $$L^p$$ L p -solutions to the steady-state 3D Boussinesq system in the whole space and with gravity acceleration
by Oscar Jarrín - 1-31 Existence of positive solutions for a p-Schrödinger–Kirchhoff integro-differential equation with critical growth
by Juan Mayorga-Zambrano & Henry Cumbal-López
April 2024, Volume 5, Issue 2
- 1-15 Existence and multiplicity of solutions for a locally coercive elliptic equation
by David Arcoya & Francisco Odair Paiva & José M. Mendoza - 1-18 Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials
by Alexander Dicke & Albrecht Seelmann & Ivan Veselić - 1-19 Existence of solutions for superquadratic or asymptotically quadratic fractional Hamiltonian systems
by Mohsen Timoumi - 1-25 Scattering problems for the wave equation in 1D: D’Alembert-type representations and a reconstruction method
by Konstantinos Kalimeris & Leonidas Mindrinos - 1-28 Energy decay analysis for Porous elastic system with microtemperature: Classical vs second spectrum approach
by Hamza Zougheib & Toufic El Arwadi & Mohammad El-Hindi & Abdelaziz Soufyane
February 2024, Volume 5, Issue 1
- 1-19 Hyper-reduction for parametrized transport dominated problems via adaptive reduced meshes
by Sara Grundel & Neeraj Sarna - 1-36 Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph
by Masaru Hamano & Masahiro Ikeda & Takahisa Inui & Ikkei Shimizu - 1-38 Hamilton and Li–Yau type gradient estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow
by Ali Taheri & Vahideh Vahidifar - 1-39 Uniform convergence for linear elastostatic systems with periodic high contrast inclusions
by Xin Fu & Wenjia Jing
December 2023, Volume 4, Issue 6
- 1-25 Sharp well-posedness of the biharmonic Schrödinger equation in a quarter plane
by E. Compaan & N. Tzirakis - 1-26 Solving stationary inverse heat conduction in a thin plate
by Jennifer Chepkorir & Fredrik Berntsson & Vladimir Kozlov - 1-27 Combining the hybrid mimetic mixed method with the Scharfetter-Gummel scheme for magnetised transport in plasmas
by Hanz Martin Cheng & Jan ten Thije Boonkkamp & Jesper Janssen & Diana Mihailova & Jan van Dijk - 1-27 Stochastic evolution equations with rough boundary noise
by Alexandra Neamţu & Tim Seitz - 1-36 Dirac cohomology on manifolds with boundary and spectral lower bounds
by Simone Farinelli - 1-51 Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions
by Victor Boussange & Sebastian Becker & Arnulf Jentzen & Benno Kuckuck & Loïc Pellissier
October 2023, Volume 4, Issue 5
- 1-19 Well posedness for the Poisson problem on closed Lipschitz manifolds
by Michaël Ndjinga & Marcial Nguemfouo - 1-20 A damped Kačanov scheme for the numerical solution of a relaxed p(x)-Poisson equation
by Pascal Heid - 1-26 Semiclassical states of a type of Dirac–Klein–Gordon equations with nonlinear interacting terms
by Yanheng Ding & Qi Guo & Yuanyang Yu - 1-29 On the range of unsolvable systems induced by complex vector fields
by A. V. da Silva - 1-36 Neural networks for first order HJB equations and application to front propagation with obstacle terms
by Olivier Bokanowski & Averil Prost & Xavier Warin - 1-61 Besov regularity of inhomogeneous parabolic PDEs
by Cornelia Schneider & Flóra Orsolya Szemenyei
August 2023, Volume 4, Issue 4
- 1-3 Preface
by Marek Fila & Kazuhiro Ishige & Tohru Ozawa & Senjo Shimizu - 1-10 Existence and non-uniqueness of stationary states for the Vlasov–Poisson equation on $${{\mathbb {R}}}^3$$ R 3 subject to attractive background charges
by Raphael Winter - 1-12 On an indefinite nonhomogeneous equation with critical exponential growth
by Karla Carolina V. de Sousa & Leandro S. Tavares - 1-14 On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam
by Paulo Amorim & João-Paulo Dias & Assis F. Martins - 1-15 Asymptotics of solutions for the fractional modified Korteweg–de Vries equation of order $$\alpha \in \left( 2,3\right) $$ α ∈ 2 , 3
by Rafael Carreño-Bolaños & Nakao Hayashi & Pavel I. Naumkin - 1-18 Energy equality of MHD system under a weaker condition on magnetic field
by Taichi Eguchi - 1-18 Choquard equations with mixed potential
by Romildo N. Lima & Marco A. S. Souto - 1-20 A deep learning approach to the probabilistic numerical solution of path-dependent partial differential equations
by Jiang Yu Nguwi & Nicolas Privault - 1-25 Fourth-order nonlinear degenerate problem for image decomposition
by Ahmed Nokrane & Nour Eddine Alaa & Fatima Aqel - 1-25 Sparse grid time-discontinuous Galerkin method with streamline diffusion for transport equations
by Andreas Zeiser - 1-26 Nonlinear semigroups for nonlocal conservation laws
by Mihály Kovács & Mihály A. Vághy - 1-31 Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus
by Akihiko Takahashi & Toshihiro Yamada - 1-33 Optimal error estimates of an IPDG scheme for the resistive magnetic induction equation
by Tanmay Sarkar - 1-35 Higher-order error estimates for physics-informed neural networks approximating the primitive equations
by Ruimeng Hu & Quyuan Lin & Alan Raydan & Sui Tang - 1-71 A regularized system for the nonlinear variational wave equation
by Katrin Grunert & Audun Reigstad
June 2023, Volume 4, Issue 3
- 1-1 Correction to: A continuum framework for phase field with bulk-surface dynamics
by Luis Espath - 1-13 Phragmén–Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition
by Keisuke Abiko - 1-17 Existence of solutions for resonant double phase problems with mixed boundary value conditions
by Yihao Yang & Wulong Liu & Patrick Winkert & Xingye Yan - 1-18 Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients
by Pascal Remy - 1-20 Uniform stability of a thermodiffusion Timoshenko beam
by Fayssal Djellali & Tijani A. Apalara & Mohamed Zitouni - 1-25 General decay of the solution to a nonlinear viscoelastic beam with delay
by Ammar Khemmoudj - 1-38 On the antimaximum principle for the p-Laplacian and its sublinear perturbations
by Vladimir Bobkov & Mieko Tanaka - 1-44 Global logarithmic stability of a Cauchy problem for anisotropic wave equations
by Mourad Bellassoued & Mourad Choulli
April 2023, Volume 4, Issue 2
- 1-6 On rotational surfaces with circular boundary and almost constant mean curvature
by Jason Minghan Dong - 1-7 Stability of neutral Volterra integro-differential equations with infinite delay
by Xiushuai Li & Jiao Jiang - 1-12 Topological approaches to knotted electric charge distributions
by Max Lipton - 1-12 Well-posedness for the initial value problem associated to the Zakharov–Kuznetsov (ZK) equation in asymmetric spaces
by Émile Deléage & Felipe Linares - 1-16 Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces
by Danilo F. Silva & Eraldo A. Lima & Henrique F. Lima - 1-18 Solution curve for linear control systems on Lie groups
by João Paulo Lima de Oliveira & Alexandre J. Santana & Simão N. Stelmastchuk - 1-25 Mittag-leffler-type function of arbitrary order and their application in the fractional kinetic equation
by M. A. Pathan & Maged G. Bin-Saad - 1-27 An energy-based deep splitting method for the nonlinear filtering problem
by Kasper Bågmark & Adam Andersson & Stig Larsson - 1-33 Observability for Schrödinger equations with quadratic Hamiltonians
by Alden Waters - 1-35 Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator
by Claudianor O. Alves & Tahir Boudjeriou - 1-35 Local bounds of the gradient of weak solutions to the porous medium equation
by Ugo Gianazza & Juhana Siljander - 1-36 A remake of Bourgain–Brezis–Mironescu characterization of Sobolev spaces
by Guy Fabrice Foghem Gounoue - 1-39 On concentration in vortex sheets
by Samuel Lanthaler
February 2023, Volume 4, Issue 1
- 1-12 Uniform large deviations for a class of semilinear stochastic partial differential equations driven by a Brownian sheet
by Leila Setayeshgar - 1-17 A continuum framework for phase field with bulk-surface dynamics
by Luis Espath - 1-20 On the rigorous derivation of hydrodynamics of the Kuramoto model for synchronization phenomena
by Young-Pil Choi
December 2022, Volume 3, Issue 6
- 1-12 Energy asymptotics for the strongly damped Klein–Gordon equation
by Haidar Mohamad - 1-14 Families of solutions to the KPI equation given by an extended Darboux transformation
by Pierre Gaillard - 1-16 Existence and non-existence of global solutions for a heat equation with degenerate coefficients
by Ricardo Castillo & Omar Guzmán-Rea & María Zegarra - 1-19 A time-periodic reaction-diffusion population model of a species subjected to harvesting on the boundary of a protected habitat
by K. D. Searle & J. H. Vuuren - 1-21 Stability of mKdV breathers on the half-line
by Miguel A. Alejo & Márcio Cavalcante & Adán J. Corcho - 1-22 Similarity solutions for imploding strong shock waves in a van der Waals gas
by Ankita Sharma & Rajan Arora - 1-26 From agent-based models to the macroscopic description of fake-news spread: the role of competence in data-driven applications
by J. Franceschi & L. Pareschi & M. Zanella - 1-27 Nonlinear fractional Schrödinger equation on the half-Line
by Gerardo Huaroto - 1-28 Large time asymptotics for the fractional modified Korteweg-de Vries equation with $$\alpha \in \left( 2,4\right) $$ α ∈ 2 , 4
by Nakao Hayashi & Pavel I. Naumkin & Isahi Sánchez-Suárez - 1-35 Deep learning schemes for parabolic nonlocal integro-differential equations
by Javier Castro - 1-38 Exhaustive existence and non-existence results for Hardy–Hénon equations in $${{\,\mathrm{{\textbf{R}}}\,}}^n$$ R n
by Yoshikazu Giga & Quốc Anh Ngô - 1-38 Local existence for the non-resistive magnetohydrodynamic system with fractional dissipation in the $$L^p$$ L p framework
by Hua Qiu & Zheng-an Yao - 1-38 Finite element approximation of invariant manifolds by the parameterization method
by Jorge Gonzalez & J. D. Mireles James & Necibe Tuncer - 1-40 On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation
by Giuseppe Maria Coclite & Lorenzo Ruvo - 1-41 Higher integrability for doubly nonlinear parabolic systems
by Verena Bögelein & Frank Duzaar & Christoph Scheven
October 2022, Volume 3, Issue 5
- 1-2 Editorial
by Manfred Kaltenbacher & Jens Markus Melenk - 1-16 Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case
by Paulo C. Carrião & Olímpio H. Miyagaki & André Vicente - 1-17 Large-time behaviour of solutions to the surface quasi-geostrophic equation
by Dáithí Ó hAodha & Tsukasa Iwabuchi - 1-19 Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres
by Shuichi Sato - 1-20 Uniform convergent scheme for discrete-ordinate radiative transport equation with discontinuous coefficients on unstructured quadrilateral meshes
by Yihong Wang & Min Tang & Jingyi Fu - 1-21 Nonlinear schrödinger equations with the third order dispersion on modulation spaces
by X. Carvajal & M. Panthee - 1-23 The effect of the domain topology on the number of positive solutions for an elliptic system
by Giovany M. Figueiredo & Leticia S. Silva - 1-28 On a hybrid continuum-kinetic model for complex fluids
by A. Chertock & P. Degond & G. Dimarco & M. Lukáčová-Medvid’ová & A. Ruhi - 1-32 Eckhaus instability of stationary patterns in hyperbolic reaction–diffusion models on large finite domains
by Giancarlo Consolo & Gabriele Grifó - 1-39 Secondary bifurcations in semilinear ordinary differential equations
by Toru Kan - 1-48 Functional analytic properties and regularity of the Möbius-invariant Willmore flow in $${\mathbf {R}}^n$$ R n
by Ruben Jakob
August 2022, Volume 3, Issue 4
- 1-9 Preface
by Kazuhiro Ishige & Tohru Ozawa & Senjo Shimizu & Yasushi Taniuchi - 1-15 Discontinuous stationary solutions to certain reaction-diffusion systems
by Szymon Cygan & Anna Marciniak-Czochra & Grzegorz Karch - 1-15 Oscillatory decay in a degenerate parabolic equation
by Michael Winkler - 1-16 A Duistermaat–Heckman type formula for the based loop group
by Jack Ding & Lisa Jeffrey - 1-21 Weak–strong uniqueness for the isentropic Euler equations with possible vacuum
by Shyam Sundar Ghoshal & Animesh Jana & Emil Wiedemann - 1-27 Large-time behavior of solutions of parabolic equations on the real line with convergent initial data III: unstable limit at infinity
by Antoine Pauthier & Peter Poláčik - 1-28 Asymptotic analysis of subwavelength halide perovskite resonators
by Konstantinos Alexopoulos & Bryn Davies - 1-30 Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties
by Andrea Medaglia & Andrea Tosin & Mattia Zanella - 1-31 Orbital stability and instability of periodic wave solutions for the $$\phi ^4$$ ϕ 4 -model
by José Manuel Palacios - 1-32 Rectifiability of divergence-free fields along invariant 2-tori
by David Perrella & David Pfefferlé & Luchezar Stoyanov - 1-41 Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms
by Philipp Grohs & Arnulf Jentzen & Diyora Salimova - 1-42 Numerical methods for the hyperbolic Monge-Ampère equation based on the method of characteristics
by M. W. M. C. Bertens & E. M. T. Vugts & M. J. H. Anthonissen & J. H. M. Thije Boonkkamp & W. L. IJzerman - 1-45 Threshold odd solutions to the nonlinear Schrödinger equation in one dimension
by Stephen Gustafson & Takahisa Inui
June 2022, Volume 3, Issue 3
- 1-9 Cauchy problem for the ES-BGK model with the correct Prandtl number
by Sung-jun Son & Seok-Bae Yun - 1-13 A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data
by Ihor Borachok & Roman Chapko & B. Tomas Johansson - 1-16 Global existence of solutions of area-preserving curvature flow of a convex plane curve in an inhomogeneous medium
by R. Lui & H. Ninomiya - 1-16 Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues
by Isaac Harris - 1-17 Second-order diffusion limit for the phonon transport equation: asymptotics and numerics
by Anjali Nair & Qin Li & Weiran Sun - 1-17 Applications of p-harmonic transplantation for functional inequalities involving a Finsler norm
by Sadaf Habibi & Futoshi Takahashi - 1-20 A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon
by Andrew Haar & Petronela Radu - 1-20 Transport equations with inflow boundary conditions
by L. Ridgway Scott & Sara Pollock - 1-20 The Gauss map of minimal surfaces in $${\mathbb {S}}^2 \times {\mathbb {R}}$$ S 2 × R
by Iury Domingos - 1-21 Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis
by Takashi Arima & Maria Cristina Carrisi & Sebastiano Pennisi & Tommaso Ruggeri - 1-23 Local well-posedness of the coupled Yang–Mills and Dirac system in temporal gauge
by Hartmut Pecher - 1-44 Heat equation with an exponential nonlinear boundary condition in the half space
by Giulia Furioli & Tatsuki Kawakami & Elide Terraneo
April 2022, Volume 3, Issue 2
- 1-2 Preface
by Shigeaki Koike - 1-14 Ground state solution for nonlocal scalar field equations involving an integro-differential operator
by Ronaldo C. Duarte - 1-16 Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure
by Pavol Quittner - 1-16 On the asymptotic expression of the time-dependent solution of an M/G/1 queueing model
by Geni Gupur - 1-16 Entire solutions with moving singularities for a semilinear heat equation with a critical exponent
by Jin Takahashi - 1-16 Ground states for Maxwell’s equations in nonlocal nonlinear media
by Rainer Mandel - 1-17 Rotational self-friction problem of elastic rods
by Mohamed Ali Latrach & Mourad Chamekh - 1-17 Existence and decay of global solutions for the Kuramoto–Sivashinsky–Zakharov–Kuznetsov equation posed on rectangles
by N. A. Larkin - 1-17 On a sharp weighted Sobolev inequality on the upper half-space and its applications
by Jianjun Zhang & Diego Felix & Everaldo Medeiros - 1-18 Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials
by Yuki Osada - 1-19 Existence and multiplicity of solutions for Schrödinger equations with asymptotically linear nonlinearities allowing interaction with essential spectrum
by Linjie Song - 1-24 Time-periodic flows of magnetic fluids
by Jáuber C. Oliveira - 1-27 Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient
by Mouhamed Moustapha Fall & Tadele Mengesha & Armin Schikorra & Sasikarn Yeepo - 1-32 Global in time solvability for a semilinear heat equation without the self-similar structure
by Yohei Fujishima & Norisuke Ioku - 1-51 Dynamical universality for random matrices
by Yosuke Kawamoto & Hirofumi Osada
February 2022, Volume 3, Issue 1
- 1-9 On refined blowup estimates for the exponential reaction-diffusion equation
by Philippe Souplet - 1-10 Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime
by Kimitoshi Tsutaya & Yuta Wakasugi - 1-11 Continuum of positive solutions of superlinear fractional Laplacian problems
by Maya Chhetri & Petr Girg & Elliott Hollifield - 1-11 (Non-)convergence of solutions of the convective Allen–Cahn equation
by Helmut Abels - 1-12 Strichartz estimates for quadratic repulsive potentials
by Masaki Kawamoto & Taisuke Yoneyama - 1-17 Local minimality properties of circular motions in $$1/r^\alpha $$ 1 / r α potentials and of the figure-eight solution of the 3-body problem
by M. Fenucci - 1-19 Local regularity conditions on initial data for local energy solutions of the Navier–Stokes equations
by Kyungkeun Kang & Hideyuki Miura & Tai-Peng Tsai - 1-21 Space-time analytic smoothing effect for the cubic nonlinear Schrödinger equations without pseudo-conformal invariance
by Gaku Hoshino - 1-22 McKean–Vlasov type stochastic differential equations arising from the random vortex method
by Zhongmin Qian & Yuhan Yao - 1-25 Sobolev estimates for non-uniformly parabolic PDEs
by Steve Schochet - 1-25 A posteriori verification of the positivity of solutions to elliptic boundary value problems
by Kazuaki Tanaka & Taisei Asai - 1-32 Existence and nonexistence of solutions to nonlocal elliptic problems
by Hamilton Bueno & Gilberto A. Pereira & Edcarlos D. Silva & Ricardo Ruviaro - 1-34 Newton’s second law with a semiconvex potential
by Ryan Hynd - 1-39 On some regularity results of parabolic problems with nonlinear perturbed terms and general data
by M. Abdellaoui & H. Redwane - 1-56 Maximal regularity and a singular limit problem for the Patlak–Keller–Segel system in the scaling critical space involving BMO
by Masaki Kurokiba & Takayoshi Ogawa - 1-57 Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects
by Joël Merker
December 2021, Volume 2, Issue 6
- 1-3 A note on 2D Navier–Stokes equations
by Jishan Fan & Tohru Ozawa - 1-6 One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space in two and three dimensions
by Christos Sourdis - 1-12 Note on smoothing estimates for Kolmogorov type equations
by Yasunori Maekawa - 1-15 Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method
by G. Barles - 1-16 Elliptic problems in the half-space with nonlinear critical boundary conditions
by Marcelo Fernandes Furtado & Karla Carolina Vicente de Sousa - 1-18 On a Navier–Stokes–Ohm problem from plasma physics in multi connected domains
by Senjo Shimizu & Hidenobu Tsuritani - 1-19 Optimal design of optical analog solvers of linear systems
by Kthim Imeri - 1-20 On vanishing and localizing around corners of electromagnetic transmission resonances
by Huaian Diao & Hongyu Liu & Xianchao Wang & Ke Yang - 1-22 Hölder gradient estimates on $$L^p$$ L p -viscosity solutions of fully nonlinear parabolic equations with VMO coefficients
by Shota Tateyama - 1-24 Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space
by Nakao Hayashi & Elena I. Kaikina & Takayoshi Ogawa - 1-26 On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations
by Hendrik Ranocha & Manuel Quezada Luna & David I. Ketcheson - 1-26 Evolving to non-round Weingarten spheres: integer linear Hopf flows
by Brendan Guilfoyle & Wilhelm Klingenberg - 1-27 Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows
by Mohammed Sayyari & Lisandro Dalcin & Matteo Parsani - 1-29 Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov–Kuznetsov equation
by Debdeep Bhattacharya - 1-30 Multiple solutions for a class of fractional logarithmic Schrödinger equations
by Siyuan He & Xiaochun Liu - 1-31 Multilevel Picard iterations for solving smooth semilinear parabolic heat equations
by Weinan E & Martin Hutzenthaler & Arnulf Jentzen & Thomas Kruse
October 2021, Volume 2, Issue 5
- 1-11 Lower bound estimate for the dissipative nonlinear Schrödinger equation
by Takuya Sato - 1-16 A remark on the uniqueness of Kozono–Nakao’s mild $$L^3$$ L 3 -solutions on the whole time axis to the Navier–Stokes equations in unbounded domains
by Yasushi Taniuchi - 1-18 Global well-posedness for the fractional Boussinesq–Coriolis system with stratification in a framework of Fourier–Besov type
by Leithold L. Aurazo-Alvarez & Lucas C. F. Ferreira - 1-19 On the mathematical analysis of the artificial compressibility method
by Yoshiyuki Kagei - 1-21 Traveling waves for the nonlinear variational wave equation
by Katrin Grunert & Audun Reigstad - 1-24 Existence and upper semicontinuity of attractors for a class of non-Newtonian micropolar fluids
by M. M. Freitas & G. M. Araújo & F. D. M. Bezerra & M. A. F. Araújo - 1-44 High-dimensional distribution generation through deep neural networks
by Dmytro Perekrestenko & Léandre Eberhard & Helmut Bölcskei - 1-46 The unique continuation property for second order evolution PDEs
by Mourad Choulli
August 2021, Volume 2, Issue 4
- 1-8 Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth
by Xiaofei Zhang & Chungen Liu - 1-14 Stability and exact periodic solutions of indefinite equations arising from the Kepler problem on the sphere
by Xiaomeng Bo & Qihuai Liu & Wenye Liu - 1-14 Breakdown of superconductivity in a magnetic field with self-intersecting zero set
by Kamel Attar - 1-16 Ultimate bound of solutions to second-order evolution equation with nonlinear damping term
by Faouzia Aloui - 1-17 The Lie symmetry approach on (1+2)-dimensional financial models
by K. Charalambous & S. Kontogiorgis & C. Sophocleous - 1-18 Homogenization of the G-equation: a metric approach
by Antonio Siconolfi - 1-22 Existence and concentration of solution for Schrödinger-Poisson system with local potential
by Zhipeng Yang & Yuanyang Yu - 1-23 Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: the Dirichlet problem
by Luigi C. Berselli & Michael Růžička - 1-25 Describing limits of integrable functions as grid functions of nonstandard analysis
by Emanuele Bottazzi - 1-25 Scattering resonances for a three-dimensional subwavelength hole
by Maryam Fatima & Junshan Lin - 1-26 Transport and continuity equations with (very) rough noise
by C. Bellingeri & A. Djurdjevac & P. K. Friz & N. Tapia - 1-30 Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance
by Norman Noguera & Ademir Pastor - 1-37 Regularity properties of the cubic biharmonic Schrödinger equation on the half line
by Engin Başakoğlu - 1-40 Modal approximation for plasmonic resonators in the time domain: the scalar case
by Lorenzo Baldassari & Pierre Millien & Alice L. Vanel - 1-42 The Navier–Stokes equations on the plane with time-dependent external forces
by Masao Yamazaki - 1-48 Solving high-dimensional Hamilton–Jacobi–Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space
by Nikolas Nüsken & Lorenz Richter - 1-51 Electromagnetic field enhancement in a subwavelength rectangular open cavity
by Yixian Gao & Peijun Li & Xiaokai Yuan
June 2021, Volume 2, Issue 3
- 1-1 Publisher Correction to: Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis
by Gabriella Bretti & Laurent Gosse - 1-5 Improved regularity criterion for the 3D Navier–Stokes equations via the gradient of one velocity component
by Sadek Gala & Maria Alessandra Ragusa - 1-13 On sublinear fractional Schrödinger–Poisson systems
by Abderrazek Benhassine - 1-13 Regularity estimates for nonlocal equations with an asymptotic property
by Disson Prazeres & Aelson Sobral - 1-14 The Keller–Segel system on bounded convex domains in critical spaces
by Matthias Hieber & Klaus Kress & Christian Stinner - 1-19 Multi-domain spectral approach for the Hilbert transform on the real line
by Christian Klein & Julien Riton & Nikola Stoilov - 1-20 On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations
by Fábio Natali & Eleomar Cardoso & Sabrina Amaral - 1-24 Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force
by Hiroyoshi Mitake & Longjie Zhang - 1-29 Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems
by Gerhard Unger - 1-29 Attraction–repulsion taxis mechanisms in a predator–prey model
by Jonathan Bell & Evan C. Haskell - 1-36 On the uniqueness of a suitable weak solution to the Navier–Stokes Cauchy problem
by Francesca Crispo & Paolo Maremonti