Results 121 to 130 of about 7,103 (240)
Eigenfunction scarring and improvements in L∞ Bounds [PDF]
We study the relationship between L∞ growth of eigenfunctions and their L^{2} concentration as measured by defect measures. In particular, we show that scarring in the sense of concentration of defect measure on certain submanifolds is incompatible with ...
Galkowski, J, Toth, JA
core
Eigenfunction expansions and spectral matrices of singular differential operators
SynopsisWe consider the eigenfunction expansions associated with a symmetric differential operator M[·] of order 2n with coefficients defined on an open interval (a, b). Each singular endpoint of (a, b) is assumed to be of limit-n type.
Don B. Hinton
core +1 more source
The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes [PDF]
In this paper the eigenfunction expansions of the Schrödinger operator with the potential having singularity at one point are considered. The uniform estimations for the spectral function of the Schrödinger operator in closed domain are obtained.
N. A., Jamaludin, Ahmedov, Anvarjon A.
core
Planetary impact crater analysis with eigenfunction expansion
High-resolution topography has recently become available for a number of planetary bodies such as the Moon, Venus, Mercury and particularly Mars, with the 32nd-degree global Martian topography from the Mars Orbital Laser Altimeter on Mars Global Surveyor.
McBride, N., Wallis, D.
core +1 more source
Distributions of eigenvalues for Sturm-Liouville problem under jump conditions
This paper deals with the asymptotic estimates of eigenvalues for SturmLiouville problems with two supplementary transmission conditions at one interior point.
F. S. Muhtarov +2 more
doaj
Eigenfunction construction by classical periodic orbits
textIn this dissertation, we devise a quantization scheme to construct eigenfunctions by classical periodic orbits in both regular systems as well as chaotic systems.
Jan, Ing-Chieh
core
On an integral equation of the Dirichlet problem for the heat equation in the degenerating domain
This paper considers the first boundary value problem of heat conduction in a degenerating domain with a moving boundary, the boundary of the domain moves at a variable velocity.
M.T. Kosmakova
doaj
Exponential estimates for quantum graphs
The article studies the exponential localization of eigenfunctions associated with isolated eigenvalues of Schrodinger operators on infinite metric graphs.
Setenay Akduman, Alexander Pankov
doaj
PERTURBATION OF EIGENFUNCTION EXPANSIONS [PDF]
openaire +3 more sources
Existence of solutions for the p-Laplacian involving a Radon measure
In this article we study the existence of solutions to eigenvalue problem $$displaylines{ -hbox{div} (|abla u|^{p-2}abla u)-lambda |u|^{p-2}umu=f quad hbox{in }Omega,cr u=0quadhbox{on }partialOmega }$$ where $Omega$ is a bounded domain in $mathbb{R}
Nedra Belhaj Rhouma, Wahid Sayeb
doaj

