On the stochastic wave equation with nonlinear damping
type: Item
instance of: scholarly article
title: On the stochastic wave equation with nonlinear damping
zbMATH Open document ID: 1168.60028
author: Jong Uhn Kim
published in: Applied Mathematics and Optimization
publication date: 2009-06-17T00:00:00Z
review text: This article considers a wave equation with nonlinear damping, driven by Brownian noise. Existence and pathwise uniqueness of solution to the initial-boundary value problem is established. For the special case of pure nonlinear damping, existence of an invariant measure is also established.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 37L40
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 5565958
zbMATH Keywords: stochastic wave equation
zbMATH Keywords: nonlinear damping
zbMATH Keywords: pathwise unique solution
zbMATH Keywords: invariant measure
MaRDI profile type: Publication
full work available at URL: s00245-007-9029-2
OpenAlex ID: W2078235435
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DOI: 10.1007/S00245-007-9029-2
description: scientific article; zbMATH DE number 5565958