| dc.contributor.author | Mueller, Carl | |
| dc.contributor.author | Nualart, David | |
| dc.date.accessioned | 2015-03-10T16:41:49Z | |
| dc.date.available | 2015-03-10T16:41:49Z | |
| dc.date.issued | 2008-12-18 | |
| dc.identifier.citation | Mueller, Carl & Nualart, David. "Regularity of the density for the stochastic heat equation." Electronic Journal of Probability Vol. 13 (2008), Paper no. 74, pages 2248–2258. http://dx.doi.org/10.1214/EJP.v13-589. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1808/17026 | |
| dc.description | This is the published version, also available here: http://dx.doi.org/10.1214/EJP.v13-589. | en_US |
| dc.description.abstract | 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. | en_US |
| dc.publisher | Institute of Mathematical Statistics (IMS) | en_US |
| dc.subject | heat equation | en_US |
| dc.subject | white noise | en_US |
| dc.subject | Malliavin calculus | en_US |
| dc.subject | stochastic partial differential equations | en_US |
| dc.title | Regularity of the density for the stochastic heat equation | en_US |
| dc.type | Article | |
| kusw.kuauthor | Nualart, David | |
| kusw.kudepartment | Mathematics | en_US |
| dc.identifier.doi | 10.1214/EJP.v13-589 | |
| kusw.oaversion | Scholarly/refereed, publisher version | |
| kusw.oapolicy | This item meets KU Open Access policy criteria. | |
| dc.rights.accessrights | openAccess | |
