\( L^p\) estimates for a class of degenerate operators

DOI10.3934/DCDSS.2022152zbMATH Open1542.35089MaRDI QIDQ6553153

Giorgio Metafune, Chiara Spina, Luigi Negro

Publication date: 11 June 2024

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

zbMATH Keywords

degenerate elliptic equations\( L^p \)-estimates

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Singular elliptic equations (35J75)

Cites Work

• Title not available (Why is that?)
• Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
• Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients
• Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
• \(L^p\) estimates for Baouendi-Grushin operators
• Maximal regularity for elliptic operators with second-order discontinuous coefficients
• Rellich inequalities in bounded domains
• Weighted Calderón-Zygmund and Rellich inequalities in \(L^p\)
• Optimal kernel estimates for elliptic operators with second order discontinuous coefficients
• Asymptotic behaviour for elliptic operators with second-order discontinuous coefficients
• Gradient estimates for elliptic operators with second-order discontinuous coefficients
• \(L^p\) estimates for the Caffarelli-Silvestre extension operators
• Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem
• Elliptic and parabolic problems for a class of operators with discontinuous coefficients
• An Extension Problem Related to the Fractional Laplacian

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