- 09-91 Isabeau Birindelli, Enrico Valdinoci
- On the Allen-Cahn
equation in the Grushin plane:
a monotone entire solution
that is not one-dimensional
(42K, LaTeX)
Jun 8, 09
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Abstract. We consider solutions of the Allen-Cahn equation in the whole Grushin
plane and we show that if they are monotone in the vertical direction,
then they are stable and they satisfy a good energy estimate.
However, they are not necessarily
one-dimensional, as a counter-example shows.
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09-91.tex