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arXiv:2003.08248 [math.AP]AbstractReferencesReviewsResources

Traveling wave solutions to the Allen-Cahn equation

Chao-Nien Chen, Vittorio Coti Zelati

Published 2020-03-18Version 1

For the Allen-Cahn equation, it is well known that there is a monotone standing wave joining with the balanced wells of the potential. In this paper we study the existence of traveling wave solutions for the Allen-Cahn equation on an infinite channel. Such traveling wave solutions possess a large number of oscillation and they are obtained with the aid of variational arguments.

Categories: math.AP
Subjects: 35K57, 35C07, 58E05
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