On the Exponential Bound of the Cutoff Resolvent

Georgi, Vodev

Displaying similar documents to “On the Exponential Bound of the Cutoff Resolvent”

Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three

Cardoso, Fernando, Cuevas, Claudio, Vodev, Georgi (2005)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 35L15, 35B40, 47F05. We prove dispersive estimates for solutions to the wave equation with a real-valued potential V.

Exponential estimates on the one-dimensional Schroedinger equation with bounded analytic potential

Giancarlo Benettin, Luigi Chierchia, Francesco Fassò (1989)

Annales de l'I.H.P. Physique théorique

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Direct and Converse Theorems for Generalized Bernstein-Type Operators

Finta, Zoltán (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 41A25, 41A27, 41A36. We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators. The direct estimate is given using a K-functional and the inverse result is a strong converse inequality of type A, in the terminology of [2].

Curvature-induced resonances in a two-dimensional Dirichlet tube

P. Duclos, P. Exner, P. Šťovíček (1995)

Annales de l'I.H.P. Physique théorique

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On non-overdetermined inverse scattering at zero energy in three dimensions

Roman G. Novikov (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We develop the $\bar{\partial}$ -approach to inverse scattering at zero energy in dimensions $d \geq 3$ of [Beals, Coifman 1985], [Henkin, Novikov 1987] and [Novikov 2002]. As a result we give, in particular, uniqueness theorem, precise reconstruction procedure, stability estimate and approximate reconstruction for the problem of finding a sufficiently small potential $v$ in the Schrödinger equation from a fixed non-overdetermined (“backscattering” type) restriction ${h |}_{Γ}$ of the Faddeev generalized scattering amplitude...

Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits

Didier Robert, H. Tamura (1989)

Annales de l'institut Fourier

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We study the semi-classical asymptotic behavior as $(h \to 0)$ of scattering amplitudes for Schrödinger operators $- (1 / 2) h^{2} Δ + V$ . The asymptotic formula is obtained for energies fixed in a non-trapping energy range and also is applied to study the low energy behavior of scattering amplitudes for a certain class of slowly decreasing repulsive potentials without spherical symmetry.

On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary

Olga A. Oleinik, Tatiana A. Shaposhnikova (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this paper we study the behavior of solutions of the boundary value problem for the Poisson equation in a partially perforated domain with arbitrary density of cavities and mixed type conditions on their boundary. The corresponding spectral problem is also considered. A short communication of similar results can be found in [1].