The stochastic wave equation

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 Holder-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.


Editor(s):
Khoshnevisan, D.
Rassoul-Agha, F.
Published in:
A Minicourse on Stochastic Partial Differential Equations, 39-71
Year:
2008
Publisher:
None, Springer Verlag
Keywords:
Laboratories:




 Record created 2008-12-01, last modified 2018-09-13


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