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Displaying 81 – 100 of 1309

Eigenvalue stability bounds via weighted Sobolov spaces.

E.B. Davies (1993)

Mathematische Zeitschrift

Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case

Milan Práger (2001)

Applications of Mathematics

A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given.

Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle

Milan Práger (1998)

Applications of Mathematics

A boundary value problem for the Laplace equation with Dirichlet and Neumann boundary conditions on an equilateral triangle is transformed to a problem of the same type on a rectangle. This enables us to use, e.g., the cyclic reduction method for computing the numerical solution of the problem. By the same transformation, explicit formulae for all eigenvalues and all eigenfunctions of the corresponding operator are obtained.

Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics

Michael Hitrik, Karel Pravda-Starov (2013)

Annales de l’institut Fourier

For a class of non-selfadjoint $h$ –pseudodifferential operators with double characteristics, we give a precise description of the spectrum and establish accurate semiclassical resolvent estimates in a neighborhood of the origin. Specifically, assuming that the quadratic approximations of the principal symbol of the operator along the double characteristics enjoy a partial ellipticity property along a suitable subspace of the phase space, namely their singular space, we give a precise description of...

Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions

Pavel Drábek, Milan Kučera (1986)

Czechoslovak Mathematical Journal

Eigenvalues of polyharmonic operators on variable domains

Davide Buoso, Pier Domenico Lamberti (2013)

ESAIM: Control, Optimisation and Calculus of Variations

We consider a class of eigenvalue problems for polyharmonic operators, including Dirichlet and buckling-type eigenvalue problems. We prove an analyticity result for the dependence of the symmetric functions of the eigenvalues upon domain perturbations and compute Hadamard-type formulas for the Frechét differentials. We also consider isovolumetric domain perturbations and characterize the corresponding critical domains for the symmetric functions of the eigenvalues. Finally, we prove that balls are...

Eigenvalues of the Hodge Laplacian on the Heisenberg group.

Detlef Müller, Marco M. Peloso, Fulvio Ricci (2006)

Collectanea Mathematica

Eigenvalues of the negative Laplacian for arbitrary multiply connected domains.

Zayed, E.M.E. (1996)

International Journal of Mathematics and Mathematical Sciences

Eigenvalues of the $p$ -Laplacian in $𝐑^{N}$ with indefinite weight

Yin Xi Huang (1995)

Commentationes Mathematicae Universitatis Carolinae

We consider the nonlinear eigenvalue problem $- {div (| \nabla u |}^{p - 2} {\nabla u) = λ g (x) | u |}^{p - 2} u$ in $𝐑^{N}$ with $p > 1$ . A condition on indefinite weight function $g$ is given so that the problem has a sequence of eigenvalues tending to infinity with decaying eigenfunctions in $W^{1, p} (𝐑^{N})$ . A nonexistence result is also given for the case $p \geq N$ .