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Renormalization of Generalized KPZ equation
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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 $\epsilon$ as $\epsilon^{-1}$ and $\log\epsilon^{-1}$.
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Cited by 1 Pith paper
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Lecture notes on the flow equation approach to singular stochastic PDEs
A scale-by-scale flow equation with suitably chosen counterterms constructs renormalized solutions of fractional elliptic Phi^4 SPDEs throughout the subcritical regime.
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