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- W1994133723 abstract "In this paper we study multidimensional stochastic reaction-diffusion equations (SRDE's) with white noise boundary data. More precisely, we consider a general SRDE with Robin data to be a white noise field. Because this boundary data is very irregular, we formulate a set of conditions that a random field must satisfy to solve the SRDE. We show that a unique solution exists, and we study the boundary-layer behavior of the solution. This boundary-layer analysis reveals some natural restrictions on the reaction term of the SRDE that ensure that the reaction term does not qualitatively affect the boundary layer. The boundary-layer analysis also leads to the definition of some functional Banach spaces into which are encoded the boundary-layer degeneracies and that would be the natural settings for other analyses of the SRDE of this paper (e.g., large deviations and central limit theorems, approximation theorems)." @default.
- W1994133723 created "2016-06-24" @default.
- W1994133723 creator A5018183293 @default.
- W1994133723 date "1994-10-01" @default.
- W1994133723 modified "2023-09-23" @default.
- W1994133723 title "Multidimensional Reaction-Diffusion Equations with White Noise Boundary Perturbations" @default.
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- W1994133723 doi "https://doi.org/10.1214/aop/1176988495" @default.
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