Sharp Schauder estimates for some degenerate Kolmogorov equations

DOI10.2422/2036-2145.201811_011zbMath1476.35061arXiv1810.12227OpenAlexW2898400815MaRDI QIDQ5161605

Stéphane Menozzi, Igor Honoré, Paul-Eric Chaudru De Raynal

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12227

zbMATH Keywords

duality results between Besov spacesforward parametrix expansions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items

Coupling approach for exponential ergodicity of stochastic Hamiltonian systems with Lévy noises, On multidimensional stable-driven stochastic differential equations with Besov drift, Cauchy problem of stochastic kinetic equations, Schauder estimates for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and Hölder continuous in space, Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients, Unnamed Item, On stochastic Langevin and Fokker-Planck equations: the two-dimensional case, Strong regularization by Brownian noise propagating through a weak Hörmander structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A parametrix approach for some degenerate stable driven SDEs
• Strong existence and uniqueness for degenerate SDE with Hölder drift
• Optimal Hölder regularity for nonautonomous Kolmogorov equations
• Parametrix techniques and martingale problems for some degenerate Kolmogorov equations
• Martingale problems for some degenerate Kolmogorov equations
• Schauder estimates for nonlocal kinetic equations and applications
• Schauder estimates for degenerate stable Kolmogorov equations
• Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form
• Schauder estimates for degenerate elliptic and parabolic problems with unbounded coefficients in \(\mathbb R^N\).
• Density estimates for a random noise propagating through a chain of differential equations
• Weak regularization by stochastic drift: result and counter example
• Stochastic Hamiltonian flows with singular coefficients
• The Schauder estimate in kinetic theory with application to a toy nonlinear model
• Schauder estimates for drifted fractional operators in the supercritical case
• Poisson stochastic process and basic Schauder and Sobolev estimates in the theory of parabolic equations
• Markov processes, semigroups and generators.
• Curvature and the eigenvalues of the Laplacian
• Regularity of stochastic kinetic equations
• Global Schauder estimates for a class of degenerate Kolmogorov equations
• Elliptic and Parabolic Second-Order PDEs with Growing Coefficients
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• Regularization effects of a noise propagating through a chain of differential equations: an almost sharp result