Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion

Kazuhiro Ishige

Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion

Kazuhiro Ishige

SCI - Mathematics

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

12 Citations (Scopus)

Abstract

We consider blow-up problems of the Cauchy-Neumann problem for semilinear heat equations with large diffusion. We prove that, in cylindrical domains, the solutions blow up only at the edge of the domain for almost all initial data. Furthermore, we give an estimate of the blow-up time of the solutions.

Original language	English
Pages (from-to)	1003-1024
Number of pages	22
Journal	Advances in Differential Equations
Volume	7
Issue number	8
Publication status	Published - 2002 Dec 1

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

@article{0bfcd90def68407397ec0d7d8097acad,

title = "Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion",

abstract = "We consider blow-up problems of the Cauchy-Neumann problem for semilinear heat equations with large diffusion. We prove that, in cylindrical domains, the solutions blow up only at the edge of the domain for almost all initial data. Furthermore, we give an estimate of the blow-up time of the solutions.",

author = "Kazuhiro Ishige",

year = "2002",

month = dec,

day = "1",

language = "English",

volume = "7",

pages = "1003--1024",

journal = "Advances in Differential Equations",

issn = "1079-9389",

publisher = "Khayyam Publishing, Inc.",

number = "8",

}

TY - JOUR

T1 - Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion

AU - Ishige, Kazuhiro

PY - 2002/12/1

Y1 - 2002/12/1

N2 - We consider blow-up problems of the Cauchy-Neumann problem for semilinear heat equations with large diffusion. We prove that, in cylindrical domains, the solutions blow up only at the edge of the domain for almost all initial data. Furthermore, we give an estimate of the blow-up time of the solutions.

AB - We consider blow-up problems of the Cauchy-Neumann problem for semilinear heat equations with large diffusion. We prove that, in cylindrical domains, the solutions blow up only at the edge of the domain for almost all initial data. Furthermore, we give an estimate of the blow-up time of the solutions.

UR - http://www.scopus.com/inward/record.url?scp=0344077532&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0344077532&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0344077532

SN - 1079-9389

VL - 7

SP - 1003

EP - 1024

JO - Advances in Differential Equations

JF - Advances in Differential Equations

IS - 8

ER -

Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this