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A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System

Author

Listed:
  • Tommaso Benincasa

    (University of Bologna)

  • Angelo Favini

    (University of Bologna)

  • Costică Moroşanu

    (University of Iaşi)

Abstract

The paper establishes existence, uniqueness and regularity for the solution of a phase-field transition system with non-homogeneous Cauchy-Neumann boundary conditions. Moreover, some estimates for the solution are given. The non-linear parabolic problem considered here can be used to modeling the solidification (liquidification) process to a matter. The non-homogeneous boundary conditions (depending both on time and space variables) can be understood as a boundary control.

Suggested Citation

  • Tommaso Benincasa & Angelo Favini & Costică Moroşanu, 2011. "A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System," Journal of Optimization Theory and Applications, Springer, vol. 148(1), pages 14-30, January.
    • Handle: RePEc:spr:joptap:v:148:y:2011:i:1:d:10.1007_s10957-010-9742-x
    DOI: 10.1007/s10957-010-9742-x
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    Cited by:

    1. Vyacheslav Maksimov, 2016. "Game Control Problem for a Phase Field Equation," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 294-307, July.

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