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Absolute Continuity of the Invariant Measures for Some Stochastic PDEs |
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| Authors: | Da Prato Giuseppe Debussche Arnaud |
| Affiliation: | 1. Scuola Normale Superiore di Pisa, Piazza dei Cavalieri7, 56126, Pisa, Italy 2. école Normale Supérieure de Cachan, antenne de Bretagne, Campus de Ker Lann, 35170, Bruz, France |
| Abstract: | We consider a free system and an interacting systems having invariant measures μ and ν respectively. Under suitable assumptions we prove an explicit formula relating ν with μ and implying the absolute continuity of ν with respect to μ. We apply our result to a reaction-diffusion equation and to the Burgers equation. |
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