On the heat equation with concave-convex nonlinearity and initial data in weak-\(L^p\) spaces

DOI10.3934/cpaa.2011.10.1715zbMath1229.35104OpenAlexW2319261954MaRDI QIDQ652074

Lucas C. F. Ferreira, Elder Jesús Villamizar-Roa

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.1715

zbMATH Keywords

existence of solutionsweak-\(L^p\) spacessingular heat equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Function spaces arising in harmonic analysis (42B35) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Stability of stationary solutions for semilinear heat equations with concave nonlinearity ⋮ Stability and instability of stationary solutions for sublinear parabolic equations

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