Regularity of stochastic kinetic equations

DOI10.1214/17-EJP65zbMath1371.35372arXiv1606.01088OpenAlexW2964124941MaRDI QIDQ2627872

Franco Flandoli, Julien Vovelle, Enrico Priola, Ennio Fedrizzi

Publication date: 1 June 2017

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01088

zbMATH Keywords

kinetic equationregularization by noisedegenerate SDEhypoelliptic regularity

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Smoothness and regularity of solutions to PDEs (35B65) Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with low regular coefficients and/or low regular data (35R05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (24)

Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces ⋮ Weak regularization by stochastic drift: result and counter example ⋮ Well-posedness of SDEs with drifts in mixed-norm spaces and driven by mixed-noises ⋮ Scaling limit of a kinetic inhomogeneous stochastic system in the quadratic potential ⋮ Scaling limit for a second-order particle system with local annihilation ⋮ Cauchy problem of stochastic kinetic equations ⋮ Exponential ergodicity and propagation of chaos for path-distribution dependent stochastic Hamiltonian system ⋮ Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients ⋮ Well-posedness and long time behavior of singular Langevin stochastic differential equations ⋮ Martingale problems for some degenerate Kolmogorov equations ⋮ Sharp Schauder estimates for some degenerate Kolmogorov equations ⋮ Exponential ergodicity for stochastic Langevin equation with partial dissipative drift ⋮ Singular Brownian diffusion processes ⋮ On the Boltzmann equation with stochastic kinetic transport: global existence of renormalized martingale solutions ⋮ Stochastic Hamiltonian flows with singular coefficients ⋮ Propagation of regularity in \(L^p\)-spaces for Kolmogorov-type hypoelliptic operators ⋮ Invariant measures for nonlinear conservation laws driven by stochastic forcing ⋮ On the mean field approximation of a stochastic model of tumour-induced angiogenesis ⋮ Stochastic functional Hamiltonian system with singular coefficients ⋮ Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D ⋮ Infinite-dimensional regularization of McKean-Vlasov equation with a Wasserstein diffusion ⋮ On Davie’s uniqueness for some degenerate SDEs ⋮ Strong regularization by Brownian noise propagating through a weak Hörmander structure ⋮ Regularization effects of a noise propagating through a chain of differential equations: an almost sharp result

This page was built for publication: Regularity of stochastic kinetic equations