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Title (deu)
Nonlinear Random Perturbations of PDEs and Quasi-Linear Kolmogorov Equations in Hilbert Spaces
Speaker / Lecturer
Giuseppina Guatteri
Politecnico Milano
Description (deu)
We study random nonlinear perturbations of a PDE and prove that a large deviation principle holds. To this purpose we introduce 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. Studying the nonlinear semigroup associated with such equation, we are able to find sufficient regular solutions to derive the large deviations principle and we give also an explicit description of the action functional, as in the finite dimensional case. This result is obtained in collaboration with S. Cerrai (University of Maryland) and G. Tessitore (University Milano Bicocca).
Keywords (deu)
Stochastic partial differential equations
Subject (eng)
ÖFOS 2012 -- 101 -- Mathematics
Type (eng)
lecture
Language
[eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2064200
Date created
2024-02-13
Place of creation (eng)
ESI
Duration
28 minutes 39 seconds
Association (eng)
Research Platform Erwin Schrödinger International Institute for Mathematical Physics (ESI)
License
All rights reserved