An Introduction to Stochastic PDEs
@article{Hairer2009AnIT, title={An Introduction to Stochastic PDEs}, author={Martin Hairer}, journal={arXiv: Probability}, year={2009} }
These notes are based on a series of lectures given first at the University of Warwick in spring 2008 and then at the Courant Institute in spring 2009. It is an attempt to give a reasonably self-contained presentation of the basic theory of stochastic partial differential equations, taking for granted basic measure theory, functional analysis and probability theory, but nothing else.
The approach taken in these notes is to focus on semilinear parabolic problems driven by additive noise. These…
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