Some features for blow-up solutions of a nonlinear parabolic equation

Koichi Anada; Tetsuya Ishiwata

Some features for blow-up solutions of a nonlinear parabolic equation

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

Abstract

In previous studies we have shown some conjectures for behavior of blow-up solutions to a nonlinear parabolic equations. They are very important features to investigate behavior of solutions near their blow-up time. The purpose of our paper is to prove one of them that we call "weak eventual monotonicity".

Original language	English
Pages (from-to)	175-182
Number of pages	8
Journal	IAENG International Journal of Applied Mathematics
Volume	45
Issue number	3
Publication status	Published - 2015

Keywords

Blow-up solutions
Eventual monotonicity
Parabolic equations
Type 2

ASJC Scopus subject areas

Applied Mathematics

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abstract = "In previous studies we have shown some conjectures for behavior of blow-up solutions to a nonlinear parabolic equations. They are very important features to investigate behavior of solutions near their blow-up time. The purpose of our paper is to prove one of them that we call {"}weak eventual monotonicity{"}.",

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