High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrodinger equation

Author	dc.contributor.author	Felmer Aichele, Patricio	es_CL
Author	dc.contributor.author	Martínez Salazar, Salomé
Author	dc.contributor.author	Tanaka, Kazunaga	es_CL
Admission date	dc.date.accessioned	2009-03-31T15:50:17Z
Available date	dc.date.available	2009-03-31T15:50:17Z
Publication date	dc.date.issued	2006-10
Cita de ítem	dc.identifier.citation	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS Volume: 182 Issue: 2 Pages: 333-366 Published: OCT 2006	en
Identifier	dc.identifier.issn	0003-9527
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/124854
Abstract	dc.description.abstract	This article is devoted to the nonlinear Schrodinger equation epsilon(2)u'' - V(x)u + vertical bar u vertical bar(p-1)u = 0, when the parameter epsilon approaches zero. All possible asymptotic behaviors of bounded solutions can be described by means of envelopes, or alternatively by adiabatic profiles. We prove that for every envelope, there exists a family of solutions reaching that asymptotic behavior, in the case of bounded intervals. We use a combination of the Nehari finite dimensional reduction together with degree theory. Our main contribution is to compute the degree of each cluster, which is a key piece of information in order to glue them.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	SPRINGER	en
Keywords	dc.subject	PHASE-TRANSITION PROBLEM	en
Título	dc.title	High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrodinger equation	en
Document type	dc.type	Artículo de revista