Removable singularities of semilinear parabolic equations

DOI10.1090/S0002-9939-2013-11739-9zbMath1278.35007OpenAlexW2120400737MaRDI QIDQ5891300

Kentaro Hirata

Publication date: 14 November 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11739-9

zbMATH Keywords

blow-upremovable singularitiesparabolic potential theorysemi linear parabolic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Analyticity in context of PDEs (35A20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (6)

Time-dependent singularities in semilinear parabolic equations: behavior at the singularities ⋮ Removable singularities and singular solutions of semilinear elliptic equations ⋮ Pointwise bounds and blow-up for systems of semilinear parabolic inequalities and nonlinear heat potential estimates ⋮ Isolated singularities in the heat equation behaving like fractional Brownian motions ⋮ Time-dependent singularities in the heat equation ⋮ Time-dependent singularities in the Navier-Stokes system

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• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
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