Blow-up for a semilinear parabolic equation with large diffusion on RN

Yohei Fujishima; Kazuhiro Ishige

doi:10.1016/j.jde.2010.12.008

Blow-up for a semilinear parabolic equation with large diffusion on RN

Yohei Fujishima, Kazuhiro Ishige

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We consider the Cauchy problem for a semilinear heat equation,and study the blow-up time and the location of the blow-up set of the solution for the case where D is sufficiently large. In particular, we prove that the location of the blow-up set depends on the large time behavior of the hot spots for the heat equation.

Original language	English
Pages (from-to)	2508-2543
Number of pages	36
Journal	Journal of Differential Equations
Volume	250
Issue number	5
DOIs	https://doi.org/10.1016/j.jde.2010.12.008
Publication status	Published - 2011 Mar 1

Keywords

Blow-up problem
Blow-up set
Hot spots
Large diffusion
Semilinear heat equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2010.12.008

Cite this

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title = "Blow-up for a semilinear parabolic equation with large diffusion on RN",

abstract = "We consider the Cauchy problem for a semilinear heat equation,and study the blow-up time and the location of the blow-up set of the solution for the case where D is sufficiently large. In particular, we prove that the location of the blow-up set depends on the large time behavior of the hot spots for the heat equation.",

keywords = "Blow-up problem, Blow-up set, Hot spots, Large diffusion, Semilinear heat equation",

author = "Yohei Fujishima and Kazuhiro Ishige",

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doi = "10.1016/j.jde.2010.12.008",

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T1 - Blow-up for a semilinear parabolic equation with large diffusion on RN

AU - Fujishima, Yohei

AU - Ishige, Kazuhiro

PY - 2011/3/1

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N2 - We consider the Cauchy problem for a semilinear heat equation,and study the blow-up time and the location of the blow-up set of the solution for the case where D is sufficiently large. In particular, we prove that the location of the blow-up set depends on the large time behavior of the hot spots for the heat equation.

AB - We consider the Cauchy problem for a semilinear heat equation,and study the blow-up time and the location of the blow-up set of the solution for the case where D is sufficiently large. In particular, we prove that the location of the blow-up set depends on the large time behavior of the hot spots for the heat equation.

KW - Blow-up problem

KW - Blow-up set

KW - Hot spots

KW - Large diffusion

KW - Semilinear heat equation

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M3 - Article

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SN - 0022-0396

VL - 250

SP - 2508

EP - 2543

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 5

ER -

Blow-up for a semilinear parabolic equation with large diffusion on RN

Abstract

Keywords

ASJC Scopus subject areas

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