Open AccessJournal Article
Spectral properties of Schrödinger operators and scattering theory
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In this paper, the authors present a set of conditions générales d'utilisation for the Scuola Normale Superiore, Pisa, 1975, tous droits réservés.Abstract:
© Scuola Normale Superiore, Pisa, 1975, tous droits réservés. L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » (http://www.sns.it/it/edizioni/riviste/annaliscienze/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.read more
Citations
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Reconstructions from boundary measurements
TL;DR: In this paper, the authors define la forme quadratique Qγ sur H 1/2 (∂Ω) par Qγ(f)=∫ Ω γ(x)|⊇u (x)| 2 dx ou u∈H 1 (Ω), est la solution unique a Lγu=0 dans Ω, u| ∂ Ω =f.
Journal ArticleDOI
Spectral properties of Schrödinger operators and time-decay of the wave functions
Arne Jensen,Tosio Kato +1 more
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Schrödinger operators with magnetic fields. I. general interactions
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Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
Igor Rodnianski,Wilhelm Schlag +1 more
TL;DR: In this paper, the authors established dispersive estimates for solutions to the linear Schrodinger equation in three dimensions 0.1, 0.2 and 0.3, respectively.
References
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Book
Perturbation theory for linear operators
TL;DR: The monograph by T Kato as discussed by the authors is an excellent reference work in the theory of linear operators in Banach and Hilbert spaces and is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory.
Book
Singular points of complex hypersurfaces
TL;DR: The Singular Points of Complex Hypersurfaces (AM-61) as mentioned in this paper is a seminal work in the area of complex hypersurfaces, and is based on as mentioned in this paper.
Book
Lectures on Elliptic Boundary Value Problems
TL;DR: In this article, the authors present an introduction to the theory of higher-order elliptic boundary value problems, and a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher order elliptic edge value problems.