These notes give an overview of recent results concerning the non-linear stochastic wave equation in spatial dimensions d ≥ 1, in the case where the driving noise is Gaussian, spatially homogeneous and white in time. We mainly address issues of existence, uniqueness and Hölder-Sobolev regularity. We also present an extension of Walsh's theory of stochastic integration with respect to martingale measures that is useful for spatial dimensions d ≥ 3. © 2009 Springer.
CITATION STYLE
Dalang, R. C. (2009). The stochastic wave equation. Lecture Notes in Mathematics, 1962, 39–71. https://doi.org/10.1007/978-3-540-85994-9_2
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