Results 121 to 130 of about 7,103 (240)

Eigenfunction scarring and improvements in L∞ Bounds [PDF]

open access: yes, 2017
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

open access: yes, 1978
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]

open access: yes, 2017
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

open access: yes, 2002
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

open access: yesJournal of New Results in Science, 2012
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

open access: yes, 1998
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

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
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

open access: yesElectronic Journal of Differential Equations, 2018
The article studies the exponential localization of eigenfunctions associated with isolated eigenvalues of Schrodinger operators on infinite metric graphs.
Setenay Akduman, Alexander Pankov
doaj  

Existence of solutions for the p-Laplacian involving a Radon measure

open access: yesElectronic Journal of Differential Equations, 2012
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  

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