Asymptotic Behavior Of Eigenfunctions Research Articles

Half-linear Sturm-Liouville problem with weights: Asymptotic behavior of eigenfunctions

We consider a nonlinear Sturm-Liouville problem with weights. Under suitable assumptions on weights we prove an asymptotic estimate for the decay of the eigenfunctions. An application to the radial problem on the entire ℝN is given.

Half-linear Sturm–Liouville Problem with Weights: Asymptotic Behavior of Eigenfunctions

Half-linear Sturm–Liouville Problem with Weights: Asymptotic Behavior of Eigenfunctions

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

By means of the two-scale convergence method, we investigate the asymptotic behavior of eigenvalues and eigenfunctions of Stekloff eigenvalue problems in perforated domains. We prove a concise and precise homogenization result including convergence of gradients of eigenfunctions which improves the understanding of the asymptotic behavior of eigenfunctions. It is also justified that the natural local problem is not an eigenvalue problem.

Asymptotic behaviour of eigenfunctions on semi-homogeneous tree

Asymptotic behaviour of eigenfunctions on semi-homogeneous tree

Asymptotic behavior of eigenfunctions and eigenvalues for ergodic and periodic systems

The purpose of this article is to study the influence of dynamical behavior of classical Hamilton systems with ergodic and periodic properties on asymptotic behavior of eigenfunctions and eigenvalues of the corresponding positive elliptic operator on a compact Riemannian manifold, and conversely, to investigate the asymptotic properties of eigenfunctions or eigenvalues which make the corresponding classical mechanics ergodic or periodic. We will give an estimate of the off-diagonal asymptotics of quantum observables for quantum ergodic systems and a regularity result on limit measures associated with quantum observables for systems with homogeneous Lebesgue spectrum. We will also give necessary and sufficient conditions for ergodicity and weak-mixing property of the classical Hamilton systems, which are obtained by a reduction procedure with symmetry, in terms of semi-classical asymptotic properties of eigenfunctions. Finally, a result on the structure of the set of cluster points for the differences of eigenvalues in a certain semi-classical sense is given, which is considered as a semi-classical analogy of Helton’s theorem.

Asymptotic Behavior of Eigenfunctions and Eigenfrequencies of Oscillation Boundary Value Problems of the Linear Theory of Elastic Mixtures

Abstract The asymptotic behavior of eigenoscillation and eigen-vector-function is studied for the internal boundary value problems of oscillation of the linear theory of a mixture of two isotropic elastic media.

Asymptotic behavior of eigenfunctions and eigenfrequencies of oscillation boundary value problems of the linear theory of elastic mixtures

The asymptotic behavior of eigenoscillation and eigen- vector-function is studied for the internal boundary value problems of oscillation of the linear theory of a mixture of two isotropic elastic media.

Asymptotic behavior of eigenfunctions of the Sturm?Liouville spectral problem

Asymptotic behavior of eigenfunctions of the Sturm?Liouville spectral problem