Renormalization of the two-dimensional stochastic nonlinear wave equations

Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh

First issued 16 March 2017 · PDF

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 renor- malization and prove that SNLW is pathwise locally well-posed. As an application of the local well-posedness argument, we also establish a weak universality result for the renormalized SNLW.

Versions

1. Version 2 (arXiv v2) current
   23 May 2018
   arXiv comments: 24 pages, Typos corrected. To appear in Trans. Amer. Math. Soc
   PDF · LaTeX source · files and digests · arXiv:1703.05461
2. Version 1 (arXiv v1)
   16 March 2017
   arXiv comments: 24 pages
   PDF · LaTeX source · files and digests · arXiv:1703.05461

Cite

Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh. Renormalization of the two-dimensional stochastic nonlinear wave equations. Papers of Massimiliano Gubinelli, 2017, version 2. https://mgubi.org/papers/paper/stochastic-wave-2d/

Licence: arXiv.org perpetual, non-exclusive license to distribute; all other rights reserved to the authors

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