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Strict positivity of a solution to a one-dimensional Kac equation without cutoff

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Publication:1581687
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DOI10.1023/A:1018683226672zbMath0959.82020MaRDI QIDQ1581687

Nicolas Fournier

Publication date: 8 October 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

Malliavin calculusPoisson measureBoltzmann equation without cutoffstochastic calculus of variationsPoisson functionals


Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic calculus of variations and the Malliavin calculus (60H07)


Related Items

Strict positivity of the density for simple jump processes using the tools of support theorems. Application to the Kac equation without cutoff ⋮ Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions ⋮ Global Solution for the Spatially Inhomogeneous Non-cutoff Kac Equation ⋮ Well-posedness and large time behaviour for the non-cutoff Kac equation with a Gaussian thermostat



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