A doubly critical semilinear heat equation in the \(L^1\) space

DOI10.1007/s00028-020-00573-2zbMath1462.35176arXiv1912.11204OpenAlexW3014708884MaRDI QIDQ2021696

Yasuhito Miyamoto

Publication date: 27 April 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11204

zbMATH Keywords

supersolutionFujita exponentlocal-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) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items

Solvability of a semilinear heat equation on Riemannian manifolds, Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces, Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ}, Solvability for time‐fractional semilinear parabolic equations with singular initial data, Solvability of superlinear fractional parabolic equations

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