Symmetry of Traveling Wave Solutions to the Allen-Cahn Equation in $\Er^2$

Details Symmetry of Traveling Wave Solutions to the Allen-Cahn Equation in $\Er^2$ Symmetry of Traveling Wave Solutions to the Allen-Cahn Equation in $\Er^2$

2011-02-19

arxiv.org/abs/1102.4020v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper, we prove even symmetry of monotone traveling wave solutions to
the balanced Allen-Cahn equation in the entire plane. Related results for the
unbalanced Allen-Cahn equation are also discussed.

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