symmetric Schrödinger operators: reality of the perturbed eigenvalues.
Caliceti, Emanuela, Cannata, Francesco, Graffi, Sandro (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Anharmonic oscillators with infinitely many real eigenvalues and -symmetry.”
symmetric Schrödinger operators: reality of the perturbed eigenvalues.
Properties of eigenfunctions of non-local operators
Davidson, F. A., Dodds, N.
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Asymptotic Property of Eigenvalues and Eigenfunctions of the Laplace Operator in Domain with a Perturbed Boundary
Khelifi, Abdessatar (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 35J05, 35C15, 44P05 In this paper, we consider the variations of eigenvalues and eigenfunctions for the Laplace operator with homogeneous Dirichlet boundary conditions under deformation of the underlying domain of definition. We derive recursive formulas for the Taylor coefficients of the eigenvalues as functions of the shape-perturbation parameter and we establish the existence of a set of eigenfunctions that is jointly holomorphic...
Spectral properties of non-local uniformly-elliptic operators.
Davidson, Fordyce A., Dodds, Niall (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Eigenvalues of a Linear Transformation
Karol Pąk (2008)
Formalized Mathematics
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The article presents well known facts about eigenvalues of linear transformation of a vector space (see [13]). I formalize main dependencies between eigenvalues and the diagram of the matrix of a linear transformation over a finite-dimensional vector space. Finally, I formalize the subspace [...] called a generalized eigenspace for the eigenvalue λ and show its basic properties.MML identifier: VECTSP11, version: 7.9.03 4.108.1028
Remarks on an eigenvalue problem associated with the -Laplace operator.
Gălăţan, Alin, Lupu, Cezar, Preda, Felician (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators
Andrey Andreev, Milena Racheva (2014)
Applications of Mathematics
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This article presents an idea in the finite element methods (FEMs) for obtaining two-sided bounds of exact eigenvalues. This approach is based on the combination of nonconforming methods giving lower bounds of the eigenvalues and a postprocessing technique using conforming finite elements. Our results hold for the second and fourth-order problems defined on two-dimensional domains. First, we list analytic and experimental results concerning triangular and rectangular nonconforming elements...
Metastability in the shadow system for Gierer-Meinhardt's equations.
De Groen, Pieter, Karadzhov, Georgi (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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