Improving L 2 estimates to Harnack inequalities

DOI10.1112/PLMS/PDP002zbMath1178.35097arXiv0911.0947OpenAlexW2149033862MaRDI QIDQ3395632

Achilles Tertikas, Luisa Moschini, Stathis Filippas

Publication date: 11 September 2009

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0947

zbMATH Keywords

elliptic operatorsingular potentialultracontractive semigroupoptimal Sobolev inequalitiessharp heat kernel estimatestwo sides estimates for the generalized first eigenfunction

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Inequalities involving derivatives and differential and integral operators (26D10) Singular parabolic equations (35K67)

Related Items (3)

Martin kernel of Schrödinger operators with singular potentials and applications to B.V.P. for linear elliptic equations ⋮ Semilinear elliptic Schrödinger equations involving singular potentials and source terms ⋮ A logarithmic Hardy inequality

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