Blow up profile of a solution for a nonlinear heat equation with small diffusion

DOI10.2969/jmsj/1190905445zbMath1065.35154OpenAlexW1990907396MaRDI QIDQ1768149

Hiroki Yagisita

Publication date: 14 March 2005

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

Full work available at URL: https://doi.org/10.2969/jmsj/1190905445

zbMATH Keywords

Neumann boundary conditionsemilinear diffusion equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Maximum principles in context of PDEs (35B50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (10)

Blow-up set of type I blowing up solutions for nonlinear parabolic systems ⋮ Blow-up behavior for a degenerate parabolic systems subject to Neumann boundary conditions ⋮ On the effect of higher order derivatives of initial data on the blow-up set for a semilinear heat equation ⋮ Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbb R^N\) ⋮ Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbf R^N\). II. ⋮ Blow-up set for a superlinear heat equation and pointedness of the initial data ⋮ Blow-up problems for a semilinear heat equation with large diffusion ⋮ Blow-up set for a semilinear heat equation with small diffusion ⋮ Blow-up set for type I blowing up solutions for a semilinear heat equation ⋮ Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators

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