Spherical mean solutions of stochastic wave equation |
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| Authors: | Pao-Liu Chow |
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| Affiliation: | Department of Mathematics , Wayne State University , Detroit, Michigan, 48202 |
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| Abstract: | ![]()
The paper is concerned with solutions of a multi–dimensional wave equation perturbed by a spatially dependent white noise. A spherical mean representation of the solutions is given. Based on such a representation, the regularity properties of the classical and generalized solutions are studied.The dependence of the solution regularity on the smoothness of the noise and the spatial dimension is determined. |
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| Keywords: | Domains with obstacles Principal eigenvalue Semigroup of symmetric Markov process α-stable process |
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