\(L^p\) estimates for the Caffarelli-Silvestre extension operators

DOI10.1016/j.jde.2022.01.049OpenAlexW4210429796MaRDI QIDQ2669923

Luigi Negro, Chiara Spina, Metafune, Giorgio

Publication date: 9 March 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10314

zbMATH Keywords

kernel estimatesdiscontinuous coefficientselliptic operatorsmaximal regularity

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Degenerate elliptic equations (35J70)

Related Items

Multi-dimensional degenerate operators in \(L^p\)-spaces ⋮ Degenerate operators on the half-line ⋮ Nondivergence form degenerate linear parabolic equations on the upper half space ⋮ A unified approach to degenerate problems in the half-space ⋮ Anisotropic Sobolev spaces with weights ⋮ Toward weighted Lorentz-Sobolev capacities from Caffarelli-Silvestre extensions ⋮ Relativistic stable operators with critical potentials ⋮ Weighted mixed-norm \(L_p\) estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem

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