A Compactness Result for the Sobolev Embedding via Potential Theory

DOI10.1007/978-3-030-73778-8_4zbMath1484.46034arXiv1806.03606OpenAlexW2806751548MaRDI QIDQ5152999

Michela Eleuteri, Filippo Camellini, Sergio Polidoro

Publication date: 28 September 2021

Published in: Harnack Inequalities and Nonlinear Operators (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03606

zbMATH Keywords

Sobolev spacesfundamental solutioncompactnessKolmogorov equationSobolev embeddingMorrey embedding

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (2)

Sobolev embeddings for kinetic Fokker-Planck equations ⋮ Pointwise estimates for degenerate Kolmogorov equations with \(L^p\)-source term

Cites Work

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• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic regularity in kinetic equations.
• Pointwise estimates for a class of non-homogeneous Kolmogorov equations
• Pointwise local estimates and Gaussian upper bounds for a class of uniformly subelliptic ultraparabolic operators
• Hypoelliptic second order differential equations
• Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
• THE MOSER'S ITERATIVE METHOD FOR A CLASS OF ULTRAPARABOLIC EQUATIONS
• Hölder regularity for solutions of ultraparabolic equations in divergence form

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