arXiv:1904.00334 Abstract | arXiv Analytics

arXiv:1904.00334 [math.PR]Abstract References Reviews Resources

Some recent progress in singular stochastic PDEs

Published 2019-03-31Version 1

Stochastic PDEs are ubiquitous in mathematical modeling. Yet, many such equations are too singular to admit classical treatment. In this article we review some recent progress in defining, approximating and studying the properties of a few examples of such equations. We focus mainly on the dynamical Phi4 equation, KPZ equation and Parabolic Anderson Model, as well as touch on a few other equations which arise mainly in physics.

Comments: 41 pages

Categories: math.PR, math.AP

Keywords: singular stochastic pdes, parabolic anderson model, kpz equation, admit classical treatment, dynamical phi4 equation

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