Results 71 to 80 of about 17,955 (266)
Divergence of eigenfunction expansions
We shall use a result of Rellich on the convergence of spectral projections to analyze mean and almost everywhere convergence of eigenfunction expansions. The basic result is a transplantation theorem, which reduces these questions on manifolds to questions on the boundedness of Fourier multiplier operators on the cotangent space. Results such as these
Robert J. Stanton+2 more
openaire +2 more sources
Minimal supports of eigenfunctions of Hamming graphs [PDF]
We find minimal supports of eigenfunctions of Hamming graphs for eigenvalue n(q-1)-q and describe eigenfunctions with minimal support.
arxiv
Analysis of density matrix embedding theory around the non‐interacting limit
Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès+4 more
wiley +1 more source
On singular integral equations with variable limits of integration
The wide range of problems of mathematical physics is reduced to a special Volterra integral equation of the second kind or to integral equations with variable limits of integration.
D.M. Akhmanova+2 more
doaj +1 more source
A solvability conditions of mixed problems for equations of parabolic type with involution
In this work the partial differential equations with involutions are considered. The mixed problems for the parabolic type equation, with constant and variable constants, corresponding to the Dirichlet type boundary conditions is investigated.
A.A. Sarsenbi
doaj +1 more source
A Comparison Theorem for Eigenfunctions [PDF]
A comparison theorem of Sturm's type is obtained for eigenfunctions of general linear elliptic partial differential operators of second order on bounded domains of n-dimensional Euclidean space. The proof is almost immediate from an earlier identity of the author. The theorem is shown to be stronger than some recent theorems of Kurt Kreith.
openaire +1 more source
Narrow Linewidth Laser Based on Extended Topological Interface States in 1D Photonic Crystals
This work introduces a novel 1D‐TISE‐PhC semiconductor laser structure achieving uniform photon distribution, reduced linewidth (126 kHz), robust single‐mode performance (SMSR up to 50 dB), precise wavelength control, and tolerance to fabrication variations, demonstrated experimentally in an eight‐channel array.
Xiao Sun+8 more
wiley +1 more source
EN The wave model of secondary flows and coherent structures in pipes
In this article, a theoretical analysis of the flows arising in the cross sections of fluid and gas flows is performed. Such flows are subdivided into secondary flows and coherent structures. From experimental studies it is known that both types of flows
S. Surkov
doaj +1 more source
One Radius Theorem For A Radial Eigenfunction Of A Hyperbolic Laplacian [PDF]
Let us fix two different radial eigenfunctions of a hyperbolic Laplacian and assume that both of them have the same value at the origin. Both eigenvalues can be complex numbers. The main goal of this paper is to estimate the lower bound for the interval (0,T], where these two eigenfunctions must assume different values at every point. We shall see that
arxiv
A total of 71,518 days open (DO) and number of services per conception (NSC) records of 28,523 Iranian Holstein cows were analysed by random regression model.
Heydar Ghiasi, Maria J. Carabaño
doaj +1 more source