Single-point blow-up patterns for a nonlinear parabolic equation

Jong Shenq Guo; Yung Jen Lin Guo; Je Chiang Tsai

doi:10.1016/S0362-546X(03)00051-8

Single-point blow-up patterns for a nonlinear parabolic equation

Jong Shenq Guo^*
, Yung Jen Lin Guo
, Je Chiang Tsai

^*Corresponding author for this work

Department of Mathematics

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

4 Citations (Scopus)

Abstract

A nonlinear parabolic equation with a superlinear reaction term was studied. The equation was solved by studying the backward self-similar solutions. In this regard, finite number of self-similar single-point blow-up patterns with different oscillations were constructed. The existence of backward self-similar positive solutions in a particular form was also proved.

Original language	English
Pages (from-to)	1149-1165
Number of pages	17
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	53
Issue number	7-8
DOIs	https://doi.org/10.1016/S0362-546X(03)00051-8
Publication status	Published - 2003 Jun

Keywords

Backward self-similar solution
Blow-up
Nonlinear parabolic equation
Pattern

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(03)00051-8

Cite this

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title = "Single-point blow-up patterns for a nonlinear parabolic equation",

abstract = "A nonlinear parabolic equation with a superlinear reaction term was studied. The equation was solved by studying the backward self-similar solutions. In this regard, finite number of self-similar single-point blow-up patterns with different oscillations were constructed. The existence of backward self-similar positive solutions in a particular form was also proved.",

keywords = "Backward self-similar solution, Blow-up, Nonlinear parabolic equation, Pattern",

author = "Guo, \{Jong Shenq\} and Guo, \{Yung Jen Lin\} and Tsai, \{Je Chiang\}",

note = "Funding Information: This work was partially supported by National Science Council of the Republic of China under the contracts NSC 89-2115-M-003-014 and NSC 88-2115-M-003-002. ",

year = "2003",

month = jun,

doi = "10.1016/S0362-546X(03)00051-8",

language = "English",

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TY - JOUR

T1 - Single-point blow-up patterns for a nonlinear parabolic equation

AU - Guo, Jong Shenq

AU - Guo, Yung Jen Lin

AU - Tsai, Je Chiang

N1 - Funding Information: This work was partially supported by National Science Council of the Republic of China under the contracts NSC 89-2115-M-003-014 and NSC 88-2115-M-003-002.

PY - 2003/6

Y1 - 2003/6

N2 - A nonlinear parabolic equation with a superlinear reaction term was studied. The equation was solved by studying the backward self-similar solutions. In this regard, finite number of self-similar single-point blow-up patterns with different oscillations were constructed. The existence of backward self-similar positive solutions in a particular form was also proved.

AB - A nonlinear parabolic equation with a superlinear reaction term was studied. The equation was solved by studying the backward self-similar solutions. In this regard, finite number of self-similar single-point blow-up patterns with different oscillations were constructed. The existence of backward self-similar positive solutions in a particular form was also proved.

KW - Backward self-similar solution

KW - Blow-up

KW - Nonlinear parabolic equation

KW - Pattern

UR - https://www.scopus.com/pages/publications/0037410166

UR - https://www.scopus.com/pages/publications/0037410166#tab=citedBy

U2 - 10.1016/S0362-546X(03)00051-8

DO - 10.1016/S0362-546X(03)00051-8

M3 - Article

AN - SCOPUS:0037410166

SN - 0362-546X

VL - 53

SP - 1149

EP - 1165

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7-8

ER -

Single-point blow-up patterns for a nonlinear parabolic equation

Abstract

Keywords

ASJC Scopus subject areas

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