Show simple item record

Authordc.contributor.authorPino Manresa, Manuel del 
Authordc.contributor.authorKowalczyk, Michal es_CL
Authordc.contributor.authorPacard, Frank es_CL
Authordc.contributor.authorWei, Juncheng es_CL
Admission datedc.date.accessioned2010-07-26T19:29:08Z
Available datedc.date.available2010-07-26T19:29:08Z
Publication datedc.date.issued2010
Identifierdc.identifier.urihttps://repositorio.uchile.cl/handle/2250/125431
Abstractdc.description.abstractWe 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
Patrocinadordc.description.sponsorshipThis 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
Lenguagedc.language.isoenen_US
Keywordsdc.subjectAllen-Cahn equationen_US
Títulodc.titleMULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2en_US
Document typedc.typeArtículo de revista


Files in this item

Icon

This item appears in the following Collection(s)

Show simple item record