About: Wave Equation with Slowly Decaying Potential: asymptotics of Solution and Wave Operators

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Attributs	Valeurs
type	work Article
Is Part Of	Spectral problems. Issue dedicated to the memory of M. Birman
Subject	Wave equation wave operators wave equation square-summable potential
Title	Wave Equation with Slowly Decaying Potential: asymptotics of Solution and Wave Operators
Date	2010-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_4/mmnp201054p122/m/web http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_4/mmnp201054p122/m/print
related by	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_4/mmnp201054p122/authorship/1
Author	Denisov, S. A.
Abstract	In this paper, we consider one-dimensional wave equation with real-valued square-summable potential. We establish the long-time asymptotics of solutions by, first, studying the stationary problem and, second, using the spectral representation for the evolution equation. In particular, we prove that part of the wave travels ballistically if q ∈ L2(ℝ +) and this result is sharp.
article type	research-article
publisher identifier	mmnp201054p122
Date Copyrighted	2010-01-01(xsd:dateTime)
Rights	© EDP Sciences, 2010
Rights Holder	EDP Sciences
is part of this journal	Mathematical Modelling of Natural Phenomena
is primary topic of	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_4/mmnp201054p122/w/record

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