Some remarks on the structure of finite Morse index solutions to the Allen–Cahn equation in R2

Some remarks on the structure of finite Morse index solutions to the Allen–Cahn equation in R2

For a solution of the Allen–Cahn equation in R 2 , under the natural linear growth energy bound, we show that the blowing down limit is unique. Furthermore, if the solution has finite Morse index, the blowing down limit satisfies the multiplicity one property.

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Veröffentlicht in:Nonlinear differential equations and applications 2017, Vol.24 (5)
1. Verfasser: Wang, Kelei
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Blowing
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:For a solution of the Allen–Cahn equation in R 2 , under the natural linear growth energy bound, we show that the blowing down limit is unique. Furthermore, if the solution has finite Morse index, the blowing down limit satisfies the multiplicity one property.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-017-0481-7