Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ}

DOI10.1090/tran/8922zbMath1521.35110arXiv2209.06398OpenAlexW4320915044MaRDI QIDQ6135812

Jin Takahashi, Kazuhiro Ishige, Kotaro Hisa

Publication date: 28 August 2023

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

Full work available at URL: https://arxiv.org/abs/2209.06398

zbMATH Keywords

solvabilitysemilinear heat equationCauchy-Dirichlet probleminitial trace

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singularity in context of PDEs (35A21) Semilinear parabolic equations (35K58)

Related Items (1)

Nonnegative solutions of the heat equation in a cylindrical domain and Widder's theorem

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