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Multidimensional Reaction-Diffusion Equations with White Noise Boundary Perturbations

Multidimensional Reaction-Diffusion Equations with White Noise Boundary Perturbations

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 …