| Título: | Regularizing Properties for Transition Semigroups and Semilinear Parabolic Equations in Banach Spaces |
| Autores: | Masiero, Federica; Universita di Milano-Bicocca |
| Fecha: | 2007-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Ornstein-Uhlenbeck and perturbed Ornstein-Uhlenbeck transition semigroups; regularizing properties; parabolic equations; Banach spaces. 60H30; 60H07; 60G15. |
| Descripción: | We study regularizing properties for transition semigroups related to Ornstein Uhlenbeck processes with values in a Banach space $E$ which is continuously and densely embedded in a real and separable Hilbert space $H$. Namely we study conditions under which the transition semigroup maps continuous and bounded functions into differentiable functions. Via a Girsanov type theorem such properties extend to perturbed Ornstein Uhlenbeck processes. We apply the results to solve in mild sense semilinear versions of Kolmogorov equations in $E$. |
| Idioma: | No aplica |
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