Renormalization of Generalized KPZ equation

preprint2016arXivOpen access

Abstract

We use Renormalization Group to prove local well posedness for a generalized KPZ equation introduced by H. Spohn in the context of stochastic hydrodynamics. The equation requires the addition of counter terms diverging with a cutoff εε as ε−1ε^{-1} and log⁡ε−1\logε^{-1}.

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