Université Paris 6
Pierre et Marie Curie | Université Paris 7
Denis Diderot | |

CNRS U.M.R. 7599
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``Probabilités et Modèles Aléatoires''
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**Auteur(s): **

**Code(s) de Classification MSC:**

- 60H15 Stochastic partial differential equations, See also {35R60}
- 60F99 None of the above but in this section
- 60G55 Point processes
- 60G57 Random measures

**Résumé:** We study the weak solution $X$ of a parabolic stochastic
partial differential equation driven by two independant processes : a
gaussian white noise, and a finite Poisson measure. We characterize the
support of the law of $X$ as the closure in $\ddcc$, endowed with its
Skorokhod topology, of a set of weak solutions of ordinary partial
differential equations.

**Mots Clés:** *Parabolic stochastic partial differential equations ; Support theorem ; Poisson measure ; White noise*

**Date:** 1999-09-17

**Prépublication numéro:** *PMA-526*