Location of the blow-up set for a superlinear heat equation with small diffusion.

zbMath1265.35039MaRDI QIDQ454557

Yohei Fujishima

Publication date: 8 October 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

diffusionheat equationblow-upexponential nonlinearity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (5)

Blow-up set of type I blowing up solutions for nonlinear parabolic systems ⋮ On the effect of higher order derivatives of initial data on the blow-up set for a semilinear heat equation ⋮ Blow-up set for a superlinear heat equation and pointedness of the initial data ⋮ 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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