Fractional semilinear heat equations with singular and nondecaying initial data

DOI10.1007/s13163-021-00389-9zbMath1490.35518arXiv2001.07875OpenAlexW3133645209MaRDI QIDQ2141399

Théo Giraudon, Yasuhito Miyamoto

Publication date: 25 May 2022

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07875

zbMATH Keywords

supersolutionsfractional Laplacianlocal-in-time solutionoptimal singularity

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (2)

Solvability of a semilinear heat equation on Riemannian manifolds ⋮ Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation

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