Sandra Cerrai, Giuseppina Guatteri, Gianmario Tessitore
Published 2022-08-26Version 1
We study a class of quasi-linear parabolic equations defined on a separable Hilbert space, depending on a small parameter in front of the second order term. Through the nonlinear semigroup associated with such equation, we introduce the corresponding SPDE and we study the asymptotic behavior of its solutions, depending on the small parameter. We show that a large deviations principle holds and we give an explicit description of the action functional.
On distributions of diffusion processes in Hilbert spaces at a fixed moment in time
Nonlinear random perturbations of Reaction-Diffusion Equations
Time regularity of Lévy-type evolution in Hilbert spaces and of some $α$-stable processes
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