Renormalization of the two-dimensional stochastic nonlinear wave equations

Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro

doi:10.1090/tran/7452

Public

Renormalization of the two-dimensional stochastic nonlinear wave equations

Published in Transactions of the American Mathematical Society • Nov 15, 2017

Authors:

Massimiliano Gubinelli

Herbert Koch

Tadahiro Oh

Abstract

We study the two-dimensional stochastic nonlinear wave equations (SNLW) with an additive space-time white noise forcing. In particular, we introduce a time-dependent renormalization and prove that SNLW is pathwise locally well-posed. As an application of the local well-posedness argument, we also es...

Subject

Mathematics

Renormalization

Universality (dynamical systems)

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