Sobolev embeddings for kinetic Fokker-Planck equations

DOI10.1016/j.jfa.2024.110344arXiv2209.05124OpenAlexW4391310411WikidataQ129204377 ScholiaQ129204377MaRDI QIDQ6119956

Andrea Pascucci, Antonello Pesce

Publication date: 20 February 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.05124

zbMATH Keywords

Sobolev embeddingsFokker-Planck equationsweak Hörmander conditionLangevin kinetic model

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Hypoelliptic equations (35H10) Fokker-Planck equations (35Q84)

Related Items (1)

Approximation and interpolation in Kolmogorov-type groups

Cites Work

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• Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators
• An introduction to Sobolev spaces and interpolation spaces
• Intrinsic Taylor formula for Kolmogorov-type homogeneous groups
• Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form
• PDE and martingale methods in option pricing.
• Besov spaces and Sobolev spaces on a nilpotent Lie group
• Hypoelliptic differential operators and nilpotent groups
• Sobolev-Morrey spaces related to an ultraparabolic equation
• Hypoelliptic regularity in kinetic equations.
• The Dirichlet problem for a class of ultraparabolic equations
• Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials
• On stochastic Langevin and Fokker-Planck equations: the two-dimensional case
• Global \({L}_p\) estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form
• Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups
• Harnack inequality for a class of Kolmogorov-Fokker-Planck equations in non-divergence form
• Fractional Sobolev norms and structure of Carnot-Carathéodory balls for Hörmander vector fields
• A First Course in Sobolev Spaces
• Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
• Interpolation Theory
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Hölder regularity for a Kolmogorov equation
• A Compactness Result for the Sobolev Embedding via Potential Theory
• THE MOSER'S ITERATIVE METHOD FOR A CLASS OF ULTRAPARABOLIC EQUATIONS
• The obstacle problem for a class of hypoelliptic ultraparabolic equations

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