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:**

- 60Hxx Stochastic analysis, see also {58G32}

**Résumé:** We consider the solution of a one-dimensional Kac equation without cutoff built by Graham and
M\'el\'eard in \cite{gm}. Recalling that this solution is the density of a Poisson driven nonlinear stochastic differential
equation, we developp Bismut's approach of the Malliavin Calculus for Poisson functionals, in order to prove that this
solution is strictly positive on $]0,\infty[ \times \reel$.

**Mots Clés:** *Kac equation*

**Date:** 1999-02-17

**Prépublication numéro:** *PMA-488*