Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds.
Manlio Bordoni (1994)
Mathematische Annalen
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Displaying similar documents to “Essential self-adjointness for magnetic Schrödinger operators on non-compact manifolds”
Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds.
The local structure of Nodal set of solutions of Schrödinger equation on Riemannian 3-manifolds.
Jingyi Chen (1994)
Manuscripta mathematica
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Resonances of two-dimensional Schrödinger operators with strong magnetic fields
Tuan Duong, Anh (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 81Q20 (35P25, 81V10). The purpose of this paper is to study the Schrödinger operator P(B,w) = (Dx-By^2+Dy^2+w^2x^2+V(x,y),(x,y) О R^2, with the magnetic field B large enough and the constant w № 0 is fixed and proportional to the strength of the electric field. Under certain assumptions on the potential V, we prove the existence of resonances near Landau levels as B®Ґ. Moreover, we show that the width of resonances is of size O(B^-Ґ). ...
Regularization of atomic Schrödinger operators with magnetic field.
Bernard Helffer, Heinz Siedentop (1995)
Mathematische Zeitschrift
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Periodic Schrödinger Operators on a Manifold.
T. Kobayashi, T. Sunada, K. Ono (1989)
Forum mathematicum
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A multiplicity result for the Schrodinger-Maxwell equations with negative potential
Giuseppe Maria Coclite (2002)
Annales Polonici Mathematici
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We prove the existence of a sequence of radial solutions with negative energy of the Schrödinger-Maxwell equations under the action of a negative potential.
Strichartz inequalities for Lipschitz metrics on manifolds and nonlinear Schrödinger equation on domains
Ramona Anton (2008)
Bulletin de la Société Mathématique de France
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We prove wellposedness of the Cauchy problem for the nonlinear Schrödinger equation for any defocusing power nonlinearity on a domain of the plane with Dirichlet boundary conditions. The main argument is based on a generalized Strichartz inequality on manifolds with Lipschitz metric.
Riemannian manifolds admitting certain conformal changes of metric
Chuan-Chih Hsiung, Larry R. Mugridge (1972)
Colloquium Mathematicae
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Essential Self-Adjointness of Schrödinger Operators Bounded from Below.
Christian G. Simader (1978)
Mathematische Zeitschrift
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Wüst's Theorem and Positively Perturbed Schrödinger Operators.
Herbert Leinfelder (1980)
Mathematische Zeitschrift
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Weak Asymptotics for Schrödinger Evolution
S. A. Denisov (2010)
Mathematical Modelling of Natural Phenomena
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In this short note, we apply the technique developed in [Math. Model. Nat. Phenom., 5 (2010), No. 4, 122-149] to study the long-time evolution for Schrödinger equation with slowly decaying potential.
Bounds on resolvents of dilated Schrödinger operators with non trapping potentials
Pierre Duclos, Markus Klein (1985)
Journées équations aux dérivées partielles
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Schrödinger Operators with Singular Magnetic Vector Potentials.
Barry Simon (1973)
Mathematische Zeitschrift
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