A Concise Course on Stochastic Partial Differential Equations
by Claudia Prévôt, Michael Röckner · 2007

"These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. All kinds of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations." "To keep the technicalities minimal we confine ourselves to the case where the noise term is given by a stochastic integral w.r.t. a cylindrical Wiener process. But all results can be easily generalized to SPDE with more general noises such as, for instance, stochastic integral w.r.t. a continuous local martingale."--Jacket.
Stochastic differential equationsDifferential equationsStochastic partial differential equations