Energy critical 2-D stochastic wave equations

Nimit Rana
University of York, UK
Wed 24nd Jul 2019, 12-1pm, Carslaw Room 829 (AGR) Note the change of date and time

Abstract

We prove the existence and uniqueness of a local maximal solution to a $H^1$-critical stochastic wave equation withexponential nonlinearity and multiplicative noise on a smooth bounded domain $D\subset {ℝ}^2$. First, we derive the appropriate deterministic and stochastic Strichartz inequalities in suitable spaces and, then, we show the local well-posedness result for small initial data.

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