Removable sets for subcaloric functions and solutions of semilinear heat equations with absorption

DOI10.14492/HOKMJ/1470139401zbMATH Open1346.35034OpenAlexW2485898668MaRDI QIDQ297516

Kentaro Hirata

Publication date: 27 June 2016

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1470139401

zbMATH Keywords

Hausdorff measureMinkowski contentremovable singularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Semilinear parabolic equations (35K58) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (5)

Solutions with time-dependent singular sets for the heat equation with absorption ⋮ Higher-dimensional moving singularities in a superlinear parabolic equation ⋮ Isolated singularities in the heat equation behaving like fractional Brownian motions ⋮ A priori growth estimates for nonnegative supertemperatures and solutions of semilinear heat equations in a Lipschitz domain ⋮ Removable sets for the heat equation

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