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2010 Stochastic NonLinear Wave Equations in Local Sobolev Spaces
Martin Ondrejat
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Electron. J. Probab. 15: 1041-1091 (2010). DOI: 10.1214/EJP.v15-789

Abstract

Existence of weak solutions of stochastic wave equations with nonlinearities of a critical growth driven by spatially homogeneous Wiener processes is established in local Sobolev spaces and local energy estimates for these solutions are proved. A new method to construct weak solutions is employed.

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Martin Ondrejat. "Stochastic NonLinear Wave Equations in Local Sobolev Spaces." Electron. J. Probab. 15 1041 - 1091, 2010. https://doi.org/10.1214/EJP.v15-789

Information

Accepted: 6 July 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 1225.60109
MathSciNet: MR2659757
Digital Object Identifier: 10.1214/EJP.v15-789

Subjects:
Primary: 60H15

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Vol.15 • 2010
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