A Stochastic Heat Equation with Nonlinear Dissipation on the Boundary

作者：Barbu Viorel; Bonaccorsi Stefano; Tubaro Luciano^*

来源：Journal of Optimization Theory and Applications, 2015, 165(2): 317-343.

DOI：10.1007/s10957-014-0672-x

• Stochastic heat diffusion
• Nonlinear monotone boundary conditions
• Additive and multiplicative noise

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.

• 出版日期2015-5