Blow-up problems for the heat equation with a local nonlinear Neumann boundary condition

DOI10.1016/j.jde.2016.05.011zbMath1338.35255arXiv1510.08903OpenAlexW1904273780MaRDI QIDQ294215

Xin Yang, Zhengfang Zhou

Publication date: 9 June 2016

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

Full work available at URL: https://arxiv.org/abs/1510.08903

zbMATH Keywords

heat equationNeumann boundary conditionblow-up timelocal nonlinear

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (8)

Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation ⋮ Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions ⋮ NUMERICAL BLOW-UP FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL ⋮ Unnamed Item ⋮ Blow-up behavior for a degenerate parabolic systems subject to Neumann boundary conditions ⋮ Lifespan estimates via Neumann heat kernel ⋮ Improvements on lower bounds for the blow-up time under local nonlinear Neumann conditions ⋮ A local theory for a fractional reaction-diffusion equation

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