IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v90y2000i1p83-108.html
   My bibliography  Save this article

On Lp-solutions of semilinear stochastic partial differential equations

Author

Listed:
  • Gyöngy, István
  • Rovira, Carles

Abstract

We prove existence, uniqueness and comparison theorems for a class of parabolic semilinear stochastic partial differential equations with nonlinearities of polynomial growth in the case of several space dimension.

Suggested Citation

  • Gyöngy, István & Rovira, Carles, 2000. "On Lp-solutions of semilinear stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 90(1), pages 83-108, November.
    • Handle: RePEc:eee:spapps:v:90:y:2000:i:1:p:83-108
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4149(00)00033-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Cardon-Weber, Caroline, 1999. "Large deviations for a Burgers'-type SPDE," Stochastic Processes and their Applications, Elsevier, vol. 84(1), pages 53-70, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dozzi, Marco & López-Mimbela, José Alfredo, 2010. "Finite-time blowup and existence of global positive solutions of a semi-linear SPDE," Stochastic Processes and their Applications, Elsevier, vol. 120(6), pages 767-776, June.
    2. Matoussi, Anis & Sabbagh, Wissal & Zhang, Tusheng, 2017. "Backward doubly SDEs and semilinear stochastic PDEs in a convex domain," Stochastic Processes and their Applications, Elsevier, vol. 127(9), pages 2781-2815.
    3. Hofmanová, Martina, 2013. "Degenerate parabolic stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 123(12), pages 4294-4336.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gautier, Eric, 2005. "Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise," Stochastic Processes and their Applications, Elsevier, vol. 115(12), pages 1904-1927, December.
    2. Foondun, Mohammud & Setayeshgar, Leila, 2017. "Large deviations for a class of semilinear stochastic partial differential equations," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 143-151.
    3. Salins, M., 2021. "Systems of small-noise stochastic reaction–diffusion equations satisfy a large deviations principle that is uniform over all initial data," Stochastic Processes and their Applications, Elsevier, vol. 142(C), pages 159-194.
    4. Deugoué, G. & Tachim Medjo, T., 2023. "Large deviation for a 3D globally modified Cahn–Hilliard–Navier–Stokes model under random influences," Stochastic Processes and their Applications, Elsevier, vol. 160(C), pages 33-71.
    5. Leila Setayeshgar, 2023. "Uniform large deviations for a class of semilinear stochastic partial differential equations driven by a Brownian sheet," Partial Differential Equations and Applications, Springer, vol. 4(1), pages 1-12, February.
    6. Pappalettera, Umberto, 2022. "Large deviations for stochastic equations in Hilbert spaces with non-Lipschitz drift," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 1-20.
    7. Röckner, Michael & Wang, Feng-Yu & Wu, Liming, 2006. "Large deviations for stochastic generalized porous media equations," Stochastic Processes and their Applications, Elsevier, vol. 116(12), pages 1677-1689, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:spapps:v:90:y:2000:i:1:p:83-108. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.