The effect of variational framework on the spectral asymptotics for nonlinear elliptic two-parameter problems
Tetsutaro Shibata (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Remark to the problem of eigenvalues of Schrödinger equation”
The effect of variational framework on the spectral asymptotics for nonlinear elliptic two-parameter problems
Fibration of the phase space for the Korteweg-de Vries equation
Thomas Kappeler (1991)
Annales de l'institut Fourier
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In this article we prove that the fibration of by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.
Characterizing degenerate Sturm-Liouville problems.
Mingarelli, Angelo B. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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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Spectral asymptotics for manifolds with cylindrical ends
Tanya Christiansen, Maciej Zworski (1995)
Annales de l'institut Fourier
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The spectrum of the Laplacian on manifolds with cylindrical ends consists of continuous spectrum of locally finite multiplicity and embedded eigenvalues. We prove a Weyl-type asymptotic formula for the sum of the number of embedded eigenvalues and the scattering phase. In particular, we obtain the optimal upper bound on the number of embedded eigenvalues less than or equal to , where is the dimension of the manifold.