Heat equation with a singular potential on the boundary and the Kato inequality

DOI10.1007/s11854-012-0032-4zbMath1308.35120OpenAlexW2032975188MaRDI QIDQ351304

Kazuhiro Ishige, Michinori Ishiwata

Publication date: 11 July 2013

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-012-0032-4

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Heat kernel (35K08)

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The heat equation for the Dirichlet fractional Laplacian with negative potentials: existence and blow-up of nonnegative solutions, Instantaneous and finite time blow-up of solutions to a reaction-diffusion equation with Hardy-type singular potential, On the heat equation with nonlinearity and singular anisotropic potential on the boundary, On singular elliptic boundary value problems via a harmonic analysis approach

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