ISSN:
1572-9613
Keywords:
Boltzmann equation without cutoff
;
Poisson measure
;
stochastic calculus of variations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We consider the solution of a one-dimensional Kac equation without cutoff built by Graham and Méléard. Recalling that this solution is the density of a Poisson driven nonlinear stochastic differential equation, we develop Bismut's approach of the Malliavin calculus for Poisson functionals in order to prove that this solution is strictly positive on ]0,∞[xℝ.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018683226672
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