Strict positivity of the solution to a 2-dimensional spatially homogeneous Boltzmann equation without cutoff
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Publication:5946159
DOI10.1016/S0246-0203(00)01067-0zbMath0981.60056MaRDI QIDQ5946159
Publication date: 3 March 2002
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPB_2001__37_4_481_0
Smoothness and regularity of solutions to PDEs (35B65) Stochastic calculus of variations and the Malliavin calculus (60H07) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
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Strict positivity of the density for simple jump processes using the tools of support theorems. Application to the Kac equation without cutoff ⋮ Knudsen type group for time in ℝ and related Boltzmann type equations ⋮ Boundedness of the Stationary Solution to the Boltzmann Equation with Spatial Smearing, Diffusive Boundary Conditions, and Lions' Collision Kernel ⋮ Positivity and lower bounds for the density of Wiener functionals ⋮ Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions ⋮ Self-generating lower bounds and continuation for the Boltzmann equation ⋮ Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition
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