| Texto completo | |
| Autor(es): |
Abreu, Jamil
;
Haak, Bernhard
;
van Neerven, Jan
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES; v. 88, p. 21-pg., 2013-08-01. |
| Resumo | |
Suppose -A admits a bounded H8-calculus of angle less than p/2 on a Banach space E which has Pisier's property (a), let B be a bounded linear operator from a Hilbert space H into the extrapolation space E-1 of E with respect to A, and let WH denote an H-cylindrical Brownian motion. Let.(H, E) denote the space of all.-radonifying operators from H to E. We prove that the following assertions are equivalent: the stochastic Cauchy problem dU(t) = AU(t) dt + B dW(H)(t) admits an invariant measure on E; (-A)(-1/2) B is an element of gamma(H, E); the Gaussian sum Sigma(n is an element of Z) gamma(n) 2(n/2) R(2(n), A)B converges in gamma(H, E) in probability. This solves the stochastic Weiss conjecture of [8]. (AU) | |
| Processo FAPESP: | 07/08220-9 - Equações estocásticas parciais e Grupos de Lie |
| Beneficiário: | Jamil Gomes de Abreu Júnior |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado Direto |