27.07.2026 15:00 Esmée Theewis:
Large deviation principles for stochastic evolution equationsMI 03.06.011 (Boltzmannstr. 3, 85748 Garching)
In this talk, I will discuss new results on large deviations for stochastic evolution equations. Starting with the variational setting, I will present a large deviation principle (LDP) for a class of SPDEs that includes many new examples with gradient noise and unbounded spatial domains. We will then move to non-variational settings and explore LDPs for the stochastic 3D primitive equations and reaction-diffusion equations. While our method is based on the well-known weak convergence approach, main novel ingredients come from the theory of critical spaces and maximal regularity techniques. Based on joint work with Antonio Agresti and Mark Veraar.