Eigenvalue estimates for the weighted laplacian on a riemannian manifold
Alberto G. Setti (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Spectral asymptotics for manifolds with cylindrical ends”
Eigenvalue estimates for the weighted laplacian on a riemannian manifold
Characterizing degenerate Sturm-Liouville problems.
Mingarelli, Angelo B. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Scattering length and capacity
M. Kac, J. M. Luttinger (1975)
Annales de l'institut Fourier
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An expression in terms of the Wiener integral for the “scattering length” is given and used to discuss the relation between this quantity and electrostatic capacity.
Complex scaling technique in non-relativistic massive QED
T. Okamoto, K. Yajima (1985)
Annales de l'I.H.P. Physique théorique
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Geometry of KDV (1): Addition and the unimodular spectral classes.
Henry P. McKean (1986)
Revista Matemática Iberoamericana
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This is the first of three papers on the geometry of KDV. It presents what purports to be a foliation of an extensive function space into which all known invariant manifolds of KDV fit naturally as special leaves. The two main themes are addition (each leaf has its private one) and unimodal spectral classes (each leaf has a spectral interpretation).
Inverse Problem for Fractional Diffusion Equation
Tuan, Vu Kim (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30 We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion equation. If a lower bound on the diffusion coefficient is known a priori then even only two measurements are sufficient. The technique is based on possibility of extracting the full boundary spectral data from special lateral...
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 -approach to inverse scattering at zero energy in dimensions 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 in the Schrödinger equation from a fixed non-overdetermined (“backscattering” type) restriction of the Faddeev generalized scattering amplitude...