Criteria for hitting probabilities with applications to systems of stochastic wave equations
We develop several results on hitting probabilities of random fields which highlight the role of the dimension of the parameter space. This yields upper and lower bounds in terms of Hausdorff measure and Bessel-Riesz capacity, respectively. We apply these results to a system of stochastic wave equat...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/23395 |
| Acesso em linha: | https://hdl.handle.net/2445/23395 |
| Access Level: | acceso abierto |
| Palavra-chave: | Probabilitats Processos gaussians Equacions diferencials estocàstiques Teoria de la mesura Probabilities Measure theory Gaussian processes Stochastic differential equations |
| Resumo: | We develop several results on hitting probabilities of random fields which highlight the role of the dimension of the parameter space. This yields upper and lower bounds in terms of Hausdorff measure and Bessel-Riesz capacity, respectively. We apply these results to a system of stochastic wave equations in spatial dimension k >- 1 driven by a d-dimensional spatially homogeneous additive Gaussian noise that is white in time and colored in space. |
|---|