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Displaying 81 – 100 of 304

Eigenvalue distributions of some degenerate elliptic operators: an approach via entropy numbers.

D.E. Edmunds, H. Triebel (1994)

Mathematische Annalen

Eigenvalue estimates for the weighted laplacian on a riemannian manifold

Alberto G. Setti (1998)

Rendiconti del Seminario Matematico della Università di Padova

Eigenvalue estimates on homogeneous manifolds.

Peter Li (1980)

Commentarii mathematici Helvetici

Eigenvalue Inequalities for the Dirichlet Problem on Spheres and the Growth of Subharmonic Functions

W.K. Hayman, S. Friedland (1976)

Commentarii mathematici Helvetici

Eigenvalue stability bounds via weighted Sobolov spaces.

E.B. Davies (1993)

Mathematische Zeitschrift

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...

Eine Verschärfung der Poincaré-Ungleichung

Leo Boček (1983)

Časopis pro pěstování matematiky

Eliciting harmonics on strings

Steven J. Cox, Antoine Henrot (2008)

ESAIM: Control, Optimisation and Calculus of Variations

One may produce the qth harmonic of a string of length π by applying the 'correct touch' at the node $π / q$ during a simultaneous pluck or bow. This notion was made precise by a model of Bamberger, Rauch and Taylor. Their 'touch' is a damper of magnitude b concentrated at $π / q$ . The 'correct touch' is that b for which the modes, that do not vanish at $π / q$ , are maximally damped. We here examine the associated spectral problem. We find the spectrum to be periodic and determined by a polynomial of degree $q - 1$ ....

Équation de Schrödinger en dimension 2, avec potentiel et champ magnétique périodiques. Cas d'un réseau triangulaire de puits

Philippe Kerdelhué (1990)

Journées équations aux dérivées partielles

Equations de Fokker-Planck géométriques II : estimations hypoelliptiques maximales

Gilles Lebeau (2007)

Annales de l’institut Fourier

Nous donnons des résultats analytiques sur les propriétés de régularité du laplacien hypoelliptique de Jean-Michel Bismut et plus généralement sur les opérateurs $P$ de type Fokker-Planck géométrique agissant sur le fibré cotangent $Σ = T^{*} X$ d’une variété riemannienne compacte $X$ . En particulier, nous prouvons un résultat d’hypoellipticité maximale pour $P$ , et nous en déduisons des bornes sur la localisation de ses valeurs spectrales.

Error estimates for the Coupled Cluster method

Thorsten Rohwedder, Reinhold Schneider (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

The Coupled Cluster (CC) method is a widely used and highly successful high precision method for the solution of the stationary electronic Schrödinger equation, with its practical convergence properties being similar to that of a corresponding Galerkin (CI) scheme. This behaviour has for the discrete CC method been analyzed with respect to the discrete Galerkin solution (the “full-CI-limit”) in [Schneider, 2009]. Recently, we globalized the CC formulation to the full continuous space, giving a root...

Estimates for a number of negative eigenvalues of the Schrödinger operator with intensive magnetic field

Victor Ivrii (1987)

Journées équations aux dérivées partielles

Estimates for the cut-off resolvent of the Laplacian for trapping obstacles

Jean-François Bony, Vesselin Petkov (2005/2006)

Séminaire Équations aux dérivées partielles

Estimates for the first eigenfunction of linear eigenvalue problems via Steiner symmetrization.

F. Chiacchio (2009)

Publicacions Matemàtiques

Estimates of eigenvalues and eigenfunctions in periodic homogenization

Carlos E. Kenig, Fanghua Lin, Zhongwei Shen (2013)

Journal of the European Mathematical Society

For a family of elliptic operators with rapidly oscillating periodic coefficients, we study the convergence rates for Dirichlet eigenvalues and bounds of the normal derivatives of Dirichlet eigenfunctions. The results rely on an $O (ϵ)$ estimate in $H^{1}$ for solutions with Dirichlet condition.

Estimates of the first eigenvalue of a big cup domain of a 2-sphere

Tadayuki Matsuzawa, Shukichi Tanno (1982)

Compositio Mathematica

Estimates of the principal eigenvalue of the $p$ -Laplacian and the $p$ -biharmonic operator

Jiří Benedikt (2015)

Mathematica Bohemica

We survey recent results concerning estimates of the principal eigenvalue of the Dirichlet $p$ -Laplacian and the Navier $p$ -biharmonic operator on a ball of radius $R$ in $ℝ^{N}$ and its asymptotics for $p$ approaching $1$ and $\infty$ . Let $p$ tend to $\infty$ . There is a critical radius $R_{C}$ of the ball such that the principal eigenvalue goes to $\infty$ for $0 < R \leq R_{C}$ and to $0$ for $R > R_{C}$ . The critical radius is $R_{C} = 1$ for any $N \in ℕ$ for the $p$ -Laplacian and $R_{C} = \sqrt{2 N}$ in the case of the $p$ -biharmonic operator. When $p$ approaches $1$ , the principal eigenvalue of the Dirichlet...

Currently displaying 81 – 100 of 304