Results 61 to 70 of about 430 (144)
Sharp inequalities and asymptotics for polyharmonic eigenvalues
We study eigenvalues of general scalar Dirichlet polyharmonic problems in domains in. We first prove a number of inequalities satisfied by the eigenvalues on general domains, depending on the relations between the orders of the operators involved.
Freitas, Pedro, Buoso, Davide
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, 2010 We calculate the main asymptotic terms for eigenvalues, both simple and multiple, and eigenfunctions of the Neumann Laplacian in a three-dimensional domain $\Om(h)$ perturbed by a small (with diameter $O(h)$) Lipschitz cavern $\overline{\om_h}$ in a ...
Sokolowski, Jan +2 more
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On the solvability of the Sturm – Liouville problem, nonlinear in the spectral parameter
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. The paper studies the solvability of the Sturm-Liouville problem, which is nonlinear in the spectral parameter. The problem is studied on a segment with boundary conditions of the third kind. Materials and methods.
G.V. Chalyshov
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Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]
Constr Approx, 2023 Dick J +3 more
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Hadamard type asymptotics for eigenvalues of the Neumann problem for elliptic operators
, 2016 This paper considers how the eigenvalues of the Neumann problem for an elliptic operator depend on the domain. The proximity of two domains is measured in terms of the norm of the difference between the two resolvents corresponding to the reference ...
Thim, Johan,, Kozlov, Vladimir,
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On asymptotics of Robin eigenvalues in the Dirichlet limit [PDF]
We investigate the asymptotic behavior of the eigenvalues of the Laplacian with homogeneous Robin boundary conditions, when the (positive) Robin parameter is diverging.
Ognibene, Roberto
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Pathological exponential asymptotics for a model problem of an equatorially trapped Rossby wave
, 2023 We examine a misleadingly simple linear second-order eigenvalue problem (the Hermite-with-pole equation) that was previously proposed as a model problem of an equatorially-trapped Rossby wave.
Trinh, Philippe H. +2 more
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Mixing Rates of the Geometrical Neutral Lorenz Model. [PDF]
J Stat Phys, 2023 Bruin H, Canales Farías HH.
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We study asymptotics of the eigenvalues and eigenfunctions of the operators used for constructing multidimensional scaling (MDS) on compact connected Riemannian manifolds, in particular on closed connected symmetric spaces.
Stepanov, Eugene, Ma, Tianyu
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Sharp Behavior of Dirichlet–Laplacian Eigenvalues for a Class of Singularly Perturbed Problems [PDF]
We deepen the study of Dirichlet eigenvalues in bounded domains where a thin tube is attached to the boundary. As its section shrinks to a point, the problem is spectrally stable and we quantitatively investigate the rate of convergence of the perturbed ...
Ognibene, Roberto, Abatangelo, Laura
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