On the stochastic beam equation driven by a non-Gaussian Lévy process
type: Item
instance of: scholarly article
title: On the stochastic beam equation driven by a non-Gaussian Lévy process
zbMATH Open document ID: 1319.60139
author: Fei Liang
author: Hongjun Gao
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2014-12-03T00:00:00Z
review text: The authors study the influence of stochastic external forcing, modeled by a non-Gaussian Lévy process, in the nonlinear beam equation. They provide sufficient conditions that ensure the existence of a unique global weak solution. The existence of a unique invariant measure associated with the transition semigroup is also proved under mild conditions.
reviewed by: Dora Seleši
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60G51
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6376454
zbMATH Keywords: stochastic beam equation
zbMATH Keywords: Lévy process
zbMATH Keywords: global weak solution
zbMATH Keywords: transition semigroup
zbMATH Keywords: invariant measure
MaRDI profile type: Publication
full work available at URL: dcdsb.2014.19.1027
OpenAlex ID: W2312508005
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DOI: 10.3934/DCDSB.2014.19.1027
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description: scientific article; zbMATH DE number 6376454