Regularization properties of the 2D homogeneous Boltzmann equation without cutoff

DOI10.1007/s00440-010-0311-xzbMath1237.82038arXiv0911.2614OpenAlexW2171422447MaRDI QIDQ662820

Vlad Bally, Nicolas Fournier

Publication date: 13 February 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2614

zbMATH Keywords

Malliavin calculusjump processeskinetic equationshard potentials without cutoff

Mathematics Subject Classification ID

Stochastic calculus of variations and the Malliavin calculus (60H07) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (8)

Regularity and stability for the semigroup of jump diffusions with state-dependent intensity ⋮ A new regularization mechanism for the Boltzmann equation without cut-off ⋮ Construction of Boltzmann and McKean-Vlasov type flows (the sewing lemma approach) ⋮ Multi-dimensional smoothing transformations: existence, regularity and stability of fixed points ⋮ Exponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off ⋮ Integration by parts formula and applications to equations with jumps ⋮ Non-elliptic SPDEs and Ambit Fields: Existence of Densities ⋮ Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition

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