Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation

DOI10.1016/j.na.2023.113321arXiv2208.11330OpenAlexW4379378225MaRDI QIDQ6139265

Norisuke Ioku, Yohei Fujishima

Publication date: 18 January 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11330

zbMATH Keywords

nonlinear heat equationglobal existence of solutionsblow-up of solutionsforward self-similar solutionsquasi-scaling

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)

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