A Stochastic Heat Equation with Nonlinear Dissipation on the Boundary

Viorel Barbu (), Stefano Bonaccorsi () and Luciano Tubaro ()
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Viorel Barbu: University Al. I. Cuza
Stefano Bonaccorsi: University of Trento
Luciano Tubaro: University of Trento

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 2, No 1, 317-343

Abstract: 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.

Keywords: Stochastic heat diffusion; Nonlinear monotone boundary conditions; Additive and multiplicative noise; 60H15 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-014-0672-x

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