ON THE SCHRODINGER EQUATION WITH SINGULAR POTENTIALS

Pava, Jaime Angulo; Ferreira, Lucas C. F.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ON THE SCHRODINGER EQUATION WITH SINGULAR POTENTIALS

Author(s):	Pava, Jaime Angulo ^[1] ; Ferreira, Lucas C. F. ^[2] Total Authors: 2
Affiliation:	^[1] IME USP, BR-05508090 Sao Paulo - Brazil ^[2] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 27, n. 7-8, p. 767-800, JUL-AUG 2014.
Web of Science Citations:	2
Abstract
We study the Cauchy problem for the non-linear Schrodinger 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 delta and delta ` impurity and to two delta-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. (AU)

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