| Título: | Regularity of the density for the stochastic heat equation |
| Autores: |
Mueller, Carl E; University of Rochester Nualart, David; University of Kansas |
| Fecha: | 2008-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
heat equation, white noise, Malliavin calculus, stochastic partial differential equations. Primary, 60H15; Secondary, 60H07. |
| Descripción: | We study the smoothness of the density of a semilinear heat equation with multiplicative spacetime white noise. Using Malliavin calculus, we reduce the problem to a question of negative moments of solutions of a linear heat equation with multiplicative white noise. Then we settle this question by proving that solutions to the linear equation have negative moments of all orders. |
| Idioma: | No aplica |
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