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.
Citation
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
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