Stochastic nonlinear PDEs versus deterministic infinite dimensional Cauchy problem I
Seminar Room 1, Newton Institute
AbstractThese lectures are devoted to deterministic non-linear semi-group and monotonicity approach to infinite dimensional stochastic equations.The advantages and limitation as well as some open problems will be discussed.
The following topics will be presented. 1) The basic results on the Cauchy problem associated with non-linear m-accretive operators in Banach spaces . 2) The time dependent non-linear Cauchy problem in Banach spaces. 3) Applications to stochastic PDEs : parabolic stochastic equations, the stochastic porous media equation,the stochastic Navier-Stokes equation,stochastic variational inequalities and the reflection problem on convex closed subsets.
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