Sharp Estimate of the Life Span of Solutions to the Heat Equation with a Nonlinear Boundary Condition

DOI10.1007/978-3-030-73363-6_7zbMath1473.35067arXiv2002.10806OpenAlexW3007622358MaRDI QIDQ5153539

Kotaro Hisa

Publication date: 30 September 2021

Published in: Geometric Properties for Parabolic and Elliptic PDE's (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10806

zbMATH Keywords

heat equationblow-upnonlinear boundary conditionlife span

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Blow-up in context of PDEs (35B44)

Related Items

Nonlinear Neumann boundary value problem for semilinear heat equations with critical power nonlinearities ⋮ Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ}

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