Stochastic wave equation with critical nonlinearities: temporal regularity and uniqueness
type: Item
instance of: scholarly article
title: Stochastic wave equation with critical nonlinearities: temporal regularity and uniqueness
zbMATH Open document ID: 1201.60066
author: Martin Ondreját
published in: Journal of Differential Equations
publication date: 2010-03-29T00:00:00Z
review text: The nonlinear, \(\mathbb R^d\)-valued wave equation \(u_{tt}=\triangle u+f(u)+g(u)\dot W\) is considered, where \(W\) is a spatially homogeneous Wiener process with finite spectral measure. The functions \(f,g\) are nonlinear and of critical growth. Consider a local solution \(u\). The author studies pathwise uniqueness and norm continuity for \((u,u_t)\) in \(H^1\oplus L^2\).
reviewed by: Michael Stauch
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 5687474
zbMATH Keywords: stochastic wave equation
zbMATH Keywords: spatially homogeneous Wiener process
zbMATH Keywords: critical growth
MaRDI profile type: Publication
full work available at URL: j.jde.2009.12.010
OpenAlex ID: W2087500784
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DOI: 10.1016/J.JDE.2009.12.010
description: scientific article; zbMATH DE number 5687474