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 Electronic Journal of Probability > Vol. 15(2010) > Paper 33 open journal systems 


Stochastic nonlinear wave equations in local Sobolev spaces

Martin Ondrejat, Institute of Information Theory and Automation, Academy of Sciences of the Czech


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.


Full text: PDF

Pages: 1041-1091

Published on: July 6, 2010
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Electronic Journal of Probability. ISSN: 1083-6489