Results 81 to 90 of about 4,674,369 (143)
Discontinuities Cause Essential Spectrum on Surfaces
Annales Henri PoincaréAbstract Two-dimensional maps with discontinuities are considered. It is shown that, in the presence of discontinuities, the essential spectrum of the transfer operator is large whenever it acts on a Banach space with norm that is stronger than $$L^\infty $$
BUTTERLEY, Oliver James +2 more
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The Birman–Schwinger principle on the essential spectrum
Journal of Functional Analysis, 2011 Let $H_0$ and $H$ be self-adjoint operators in a Hilbert space. We consider the spectral projections of $H_0$ and $H$ corresponding to a semi-infinite interval of the real line. We discuss the index of this pair of spectral projections and prove an identity which extends the Birman-Schwinger principle onto the essential spectrum.
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, 1994 Literary journalhttps://nwcommons.nwciowa.edu/spectrum/1019/thumbnail ...
Spectrum Contributors,
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The Essential Spectrum of the Laplacian on Manifolds with Ends
Publications of the Research Institute for Mathematical Sciences, 2009 Let V be a noncompact complete Riemannian manifold. We find a geometric condition which assures that the essential spectrum of the Laplacian on V contains a half-line, by means of fiber bundle structures and the asymptotic behavior of mean curvatures on
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, 1988 Literary journalhttps://nwcommons.nwciowa.edu/spectrum/1012/thumbnail ...
Spectrum Contributors,
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A Note on Bifurcation from the Essential Spectrum
Advanced Nonlinear Studies, 2003 Abstract In this paper we study a semilinear elliptic equation in all ℝ N . This equation depends on a parameter λ, and we obtain, for small λ < 0, solutins which are small in H 1 (ℝ N ).
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International Journal of Analysis and Applications, 2015 This paper is devoted to the investigation of the stability of the Weyl essential spectrum of closed densely dened linear operator A subjected to additive perturbation K such that (lambda-A-K)^{-1}K or K(lambda-A-K)^{-1} is a quasi-compact operator ...
Leila Mebarki +2 more
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Spectral theory of C-symmetric non-selfadjoint differential operators of order 2n
Electronic Journal of Differential Equations, 2023 Horst Behncke, Don Hinton
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Journal of Mathematical Analysis and Applications, 1969 Gustafson, K, Weidmann, J
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Functional Inequalities for Empty Essential Spectrum
Journal of Functional Analysis, 2000 The author proves the equivalence between the super-Poincaré inequality and the empty essential spectrum. Also some connections with the \(F\)-Sobolev inequality and the Nash inequality are nicely pointed out.
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