Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/88234
Type: Artigo de periódico
Title: On The Schrödinger Equation With Singular Potentials
Author: Pava J.A.
Ferreira L.C.F.
Abstract: We study the Cauchy problem for the non-linear Schrödinger equation with singular potentials. For the point-mass potential and nonperiodic case, we prove existence and asymptotic stability of global solutions in weak-L p spaces. Specific interest is given to the point-like δ and δ′ impurity and to two δ-interactions in one dimension. We also consider the periodic case, which is analyzed in a functional space based on Fourier transform and local-in-time well-posedness is proved.
Editor: Khayyam Publishing
Rights: fechado
Identifier DOI: 
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84904120690&partnerID=40&md5=2b15c903b7943a62faa41435625f275d
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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