| Author | dc.contributor.author | Pino Manresa, Manuel del | |
| Author | dc.contributor.author | Kowalczyk, Michal | es_CL |
| Author | dc.contributor.author | Pacard, Frank | es_CL |
| Author | dc.contributor.author | Wei, Juncheng | es_CL |
| Admission date | dc.date.accessioned | 2010-07-26T19:29:08Z | |
| Available date | dc.date.available | 2010-07-26T19:29:08Z | |
| Publication date | dc.date.issued | 2010 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125431 | |
| Abstract | dc.description.abstract | We construct a new class of entire solutions for the Allen-Cahn equation
u + (1 u2)u = 0, in R2( C). Given k 1, we nd a family of solutions whose
zero level sets are, away from a compact set, asymptotic to 2k straight lines (which
we call the ends). These solutions have the property that there exist 0 < 1 < : : : <
2k = 0+2 such that limr!+1 u(rei ) = (1)j uniformly in on compact subsets
of ( j ; j+1), for j = 0; : : : ; 2k 1. | en_US |
| Patrocinador | dc.description.sponsorship | This work has been partly supported by chilean research
grants Fondecyt 1070389, 1050311, 1090103, FONDAP, an ECOS-CONICYT contract
C05E05 and an Earmarked Grant from RGC of Hong Kong and Focused Research
Scheme of CUHK of Hong Kong. The third author was particaly supported by the
ANR-08-BLAN-0335-01. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Keywords | dc.subject | Allen-Cahn equation | en_US |
| Título | dc.title | MULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2 | en_US |
| Document type | dc.type | Artículo de revista | |
