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Travelling wavefronts for a non-divergent degenerate and singular parabolic equation with changing sign sources

Published online by Cambridge University Press:  04 November 2009

Jingxue Yin  and
Chunhua Jin
Jingxue Yin
Affiliation:
Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China (jinchhua@126.com)
Chunhua Jin
Affiliation:
Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China (jinchhua@126.com)
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Abstract

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We discuss travelling wavefronts of a degenerate and singular parabolic equation in non-divergent form with changing sign sources. Necessary and sufficient conditions will be given for the existence of smooth or non-smooth and non-decreasing or non-increasing solutions. We also study the regularity of such solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1179 - 1207
Copyright
Copyright © Royal Society of Edinburgh 2009