PDE Seminar Abstracts

Energy critical 2-D stochastic wave equations

Nimit Rana
University of York, UK
Wed 24th Jul 2019, 12-1pm, Carslaw Room 829 (AGR)


We prove the existence and uniqueness of a local maximal solution to a H1-critical stochastic wave equation withexponential nonlinearity and multiplicative noise on a smooth bounded domain D 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.