Martingale solutions of a stochastic wave equation with reflection

DOI10.1016/j.jfa.2007.12.007zbMath1138.60046OpenAlexW2016700530MaRDI QIDQ924654

Jong Uhn Kim

Publication date: 19 May 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.12.007

zbMATH Keywords

reflectionstochastic wave equationBrownian motionsMartingale solutionsSkorohod's theorem

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Stochastic wave equation with Hölder noise coefficient: well-posedness and small mass limit

Cites Work

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• Stochastic variational inequalities of parabolic type
• Compact sets in the space \(L^ p(0,T;B)\)
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• White noise driven quasilinear SPDEs with reflection
• The stochastic obstacle problem for the harmonic oscillator with damping
• New Results on the Vibrating String with a Continuous Obstacle
• EXISTENCE OF GLOBAL MARTINGALE SOLUTIONS TO STOCHASTIC HYPERBOLIC EQUATIONS DRIVEN BY A SPATIALLY HOMOGENEOUS WIENER PROCESS
• Stochastic Equations in Infinite Dimensions

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