Results 21 to 30 of about 423 (38)
Semi-classical States for Non-self-adjoint Schrodinger Operators
, 1998 We prove that the spectrum of certain non-self-adjoint Schrodinger operators is unstable in the semi-classical limit. Similar results hold for a fixed operator in the high energy limit.
Davies, E B
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Symmetrization for Mixed Operators
Annales Mathematicae SilesianaeIn this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–
Bahrouni Sabri
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On the remainder term of the Berezin inequality on a convex domain
, 2016 We study the Dirichlet eigenvalues of the Laplacian on a convex domain in $\mathbb{R}^n$, with $n\geq 2$. In particular, we generalize and improve upper bounds for the Riesz means of order $\sigma\geq 3/2$ established in an article by Geisinger, Laptev ...
Larson, Simon
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On eigenfunction approximations for typical non-self-adjoint Schroedinger operators
, 1999 We construct efficient approximations for the eigenfunctions of non-self-adjoint Schroedinger operators in one dimension. The same ideas also apply to the study of resonances of self-adjoint Schroedinger operators which have dilation analytic potentials.
A. Aslanyan +3 more
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On the solvability of discrete nonlinear Neumann problems involving the
Advances in Difference Equations, 2011 In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas +2 more
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New bounds on the Lieb-Thirring constants
, 1999 Improved estimates on the constants $L_{\gamma,d}$, for $1 ...
Hundertmark, D., Laptev, A., Weidl, T.
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Quantitative bounds on the discrete spectrum of non self-adjoint quantum magnetic Hamiltonians [PDF]
, 2016 We establish Lieb-Thirring type inequalities for non self-adjoint relatively compact perturbations of certain operators of mathematical physics. We apply our results to quantum Hamiltonians of Schr{\"o}dinger and Pauli with constant magnetic field of ...
Sambou, Diomba
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A family of anisotropic integral operators and behaviour of its maximal eigenvalue
, 2011 We study the family of compact integral operators $\mathbf K_\beta$ in $L^2(\mathbb R)$ with the kernel K_\beta(x, y) = \frac{1}{\pi}\frac{1}{1 + (x-y)^2 + \beta^2\Theta(x, y)}, depending on the parameter $\beta >0$, where $\Theta(x, y)$ is a symmetric ...
Mityagin, B. S, Sobolev, A. V.
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Variation of discrete spectra for non-selfadjoint perturbations of selfadjoint operators
, 2013 Let B=A+K where A is a bounded selfadjoint operator and K is an element of the von Neumann-Schatten ideal S_p with p>1. Let {\lambda_n} denote an enumeration of the discrete spectrum of B.
E.B. Davies +16 more
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Inequalities for selected eigenvalues of the product of matrices
, 2019 The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues.
Xi, Bo-Yan, Zhang, Fuzhen
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