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Hitting probabilities for nonlinear systems of stochastic waves /
The authors consider a d-dimensional random field u = \{u(t, x)\} that solves a non-linear system of stochastic wave equations in spatial dimensions k \in \{1,2,3\}, driven by a spatially homogeneous Gaussian noise that is white in time. They mainly consider the case where the spatial covariance is...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1120. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The authors consider a d-dimensional random field u = \{u(t, x)\} that solves a non-linear system of stochastic wave equations in spatial dimensions k \in \{1,2,3\}, driven by a spatially homogeneous Gaussian noise that is white in time. They mainly consider the case where the spatial covariance is given by a Riesz kernel with exponent \beta. Using Malliavin calculus, they establish upper and lower bounds on the probabilities that the random field visits a deterministic subset of \mathbb{R}^d, in terms, respectively, of Hausdorff measure and Newtonian capacity of this set. The dimension that ap. |
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| Notas: | "Volume 237, number 1120 (fourth of 6 numbers), September 2015." |
| Descripción Física: | 1 online resource (v, 75 pages) |
| Bibliografía: | Includes bibliographical references (pages 73-75). |
| ISBN: | 9781470425074 1470425076 |
| ISSN: | 0065-9266 ; |