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Stochastic nonlinear PDEs versus deterministic infinite dimensional Cauchy problem I

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Stochastic Partial Differential Equations (SPDEs)

These lectures are devoted to deterministic nonlinear semigroup and monotonicity approach to infinite dimensional stochastic equations.The advantages and limitation as well as some open problems will be discused.

The following topics will be presented. 1) The basic results on the Cauchy problem associated with nonlinear m-accretive operators in Banach spaces . 2) The time dependent nonlinear Cauchy problem in Banach spaces. 3) Applications to stochastic PDEs : parabolic stochastic equations, the stochastic porous media equation,the stochastic Navier-Stokes equation,stochastic variationa inequalities and the reflection problem on convex closed subsets.

This talk is part of the Isaac Newton Institute Seminar Series series.

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