Thursday, May 22, 2025 - 09:30 in V2-210
Large Deviation Principle for pseudo-monotone evolutionary equation
A talk in the SPDEvent series by
Kavin Rajasekaran from Technische Universität Clausthal
| Abstract: |
We establish Freidlin-Wentzell’s large deviation principle for a stochastic partial differential equation with the nonlinear diffusion-convection operator in divergence form satisfying p-type growth, involving coercivity assumptions, perturbed by small
multiplicative Brownian noise. We utilise the weak convergence method to prove the Laplace principle, which is equivalent to the large deviation principle in our framework. The main technical difficulties arise from the p-type growth of the
operator associated with Lipschitz continuous perturbation. The well-posedness of an associated deterministic problem is established by using time discretisation and Minty-type monotonicity argument. We use Girsanov’s theorem and Skorokhod representation theorem to handle the stochastic counterpart.
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