Life span of positive solutions for a semilinear heat equation with general non-decaying initial data

Tohru Ozawa; Yusuke Yamauchi

doi:10.1016/j.jmaa.2011.01.050

Life span of positive solutions for a semilinear heat equation with general non-decaying initial data

Tohru Ozawa, Yusuke Yamauchi^*

^*Corresponding author for this work

School of Advanced Science and Engineering

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

5 Citations (Scopus)

Abstract

We prove upper bounds on the life span of positive solutions for a semilinear heat equation. For non-decaying initial data, it is well known that the solutions blow up in finite time. We give two types estimates of the life span in terms of the limiting values of the initial data in space.

Original language	English
Pages (from-to)	518-523
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	379
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2011.01.050
Publication status	Published - 2011 Jul 15

Keywords

Blow up
Cauchy problem
Life span
Semilinear heat equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2011.01.050

Cite this

@article{9c544a9b00d641b3bc2470fdeb820af9,

title = "Life span of positive solutions for a semilinear heat equation with general non-decaying initial data",

abstract = "We prove upper bounds on the life span of positive solutions for a semilinear heat equation. For non-decaying initial data, it is well known that the solutions blow up in finite time. We give two types estimates of the life span in terms of the limiting values of the initial data in space.",

keywords = "Blow up, Cauchy problem, Life span, Semilinear heat equation",

author = "Tohru Ozawa and Yusuke Yamauchi",

year = "2011",

month = jul,

day = "15",

doi = "10.1016/j.jmaa.2011.01.050",

language = "English",

volume = "379",

pages = "518--523",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Life span of positive solutions for a semilinear heat equation with general non-decaying initial data

AU - Ozawa, Tohru

AU - Yamauchi, Yusuke

PY - 2011/7/15

Y1 - 2011/7/15

N2 - We prove upper bounds on the life span of positive solutions for a semilinear heat equation. For non-decaying initial data, it is well known that the solutions blow up in finite time. We give two types estimates of the life span in terms of the limiting values of the initial data in space.

AB - We prove upper bounds on the life span of positive solutions for a semilinear heat equation. For non-decaying initial data, it is well known that the solutions blow up in finite time. We give two types estimates of the life span in terms of the limiting values of the initial data in space.

KW - Blow up

KW - Cauchy problem

KW - Life span

KW - Semilinear heat equation

UR - http://www.scopus.com/inward/record.url?scp=79952814211&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952814211&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2011.01.050

DO - 10.1016/j.jmaa.2011.01.050

M3 - Article

AN - SCOPUS:79952814211

SN - 0022-247X

VL - 379

SP - 518

EP - 523

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Life span of positive solutions for a semilinear heat equation with general non-decaying initial data

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this