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A Stochastic Heat Equation with Nonlinear Dissipation on the Boundary

Author

Listed:
  • Viorel Barbu

    (University Al. I. Cuza)

  • Stefano Bonaccorsi

    (University of Trento)

  • Luciano Tubaro

    (University of Trento)

Abstract

In this paper, we discuss the existence and uniqueness of variational solutions for a stochastic heat equation in a bounded domain with both additive and laminar multiplicative noise and with a nonlinear dissipative condition on the boundary. Our construction includes, as a particular case, the Signorini-type boundary conditions.

Suggested Citation

  • Viorel Barbu & Stefano Bonaccorsi & Luciano Tubaro, 2015. "A Stochastic Heat Equation with Nonlinear Dissipation on the Boundary," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 317-343, May.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:2:d:10.1007_s10957-014-0672-x
    DOI: 10.1007/s10957-014-0672-x
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    Cited by:

    1. Ioana Ciotir, 2015. "A Variational Approach to Neumann Stochastic Semi-Linear Equations Modeling the Thermostatic Control," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 1095-1111, December.

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