Title	On stability properties of the cubic-quintic Schrödinger equation with a Dirac potential
Creator	Hernandez Melo, Cesar Adolfo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-19T09:57
Description	In this talk, we show some results on the existence and orbital stability of the peak-standing-wave solutions for the cubic-quintic nonlinear Schr\"odinger equation with a point interaction. Via a perturbation method and continuation argument, we obtain stability results in the case of attractive-attractive and attractive-repulsive nonlinearities. In the case of an attractive-attractive case and an focusing interaction we give an complete approach for stability based in the extension theory of symmetric operators.
Extent	27 minutes
Subject	Mathematics; Partial differential equations; Dynamical systems and ergodic theory; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universidade estadual de Maringa
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0362063
URI	http://hdl.handle.net/2429/64044
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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