Zobrazeno 1 - 10
of 1 035
pro vyhledávání: '"47A75"'
Autor:
Curran, Mitchell, Marangell, Robert
We use the Maslov index to study the eigenvalue problem arising from the linearisation about a standing wave in the fourth-order cubic nonlinear Schr\"odinger equation (NLSE). Our analysis is motivated by a recent work by Bandara et. al., in which th
Externí odkaz:
http://arxiv.org/abs/2411.16903
In this paper, we study a class of eigenvalue problems involving both local as well as nonlocal operators, precisely the classical Laplace operator and the fractional Laplace operator in the presence of mixed boundary conditions, that is \begin{equat
Externí odkaz:
http://arxiv.org/abs/2411.16499
We prove a sharp quantitative version of recent Faber-Krahn inequalities for the continuous Wavelet transforms associated to a certain family of Cauchy wavelet windows . Our results are uniform on the parameters of the family of Cauchy wavelets, and
Externí odkaz:
http://arxiv.org/abs/2411.16010
Autor:
Hua, Bobo, Li, Ruowei
We introduce the discrete poly-Laplace operator on a subgraph with Dirichlet boundary condition. We obtain upper and lower bounds for the sum of the first $k$ Dirichlet eigenvalues of the poly-Laplace operators on a finite subgraph of lattice graph $
Externí odkaz:
http://arxiv.org/abs/2411.11071
We prove a Rellich-Vekua type theorem for Schr\"{o}dinger operators with exponentially decreasing potentials on a class of lattices containing square, triangular, hexagonal lattices and their ladders. We also discuss the unique continuation theorem a
Externí odkaz:
http://arxiv.org/abs/2411.03577
Autor:
Lo, Chia-Chun
We show that the spectrum of a Schr\"odinger eigenvalue problem posed on a closed Riemannian manifold $M$ with non-negative potential can be approached by that of Robin eigenvalue problems with constant positive boundary parameter posed on a sequence
Externí odkaz:
http://arxiv.org/abs/2411.01594
The Newtonian potential operator for the Helmholtz equation, which is represented by the volume integral with fundamental solution as kernel function, is of great importance for direct and inverse scattering of acoustic waves. In this paper, the eige
Externí odkaz:
http://arxiv.org/abs/2409.09394
We prove Weyl laws for Schr\"odinger operators with critically singular potentials on compact manifolds with boundary. We also improve the Weyl remainder estimates under the condition that the set of all periodic geodesic billiards has measure 0. The
Externí odkaz:
http://arxiv.org/abs/2409.05252
In this paper we prove sharp Lieb-Thirring (LT) inequalities for the family of shifted Coulomb Hamiltonians. More precisely, we prove the classical LT inequalities with the semi-classical constant for this family of operators in any dimension $d\geqs
Externí odkaz:
http://arxiv.org/abs/2409.01291
The aim of this paper is to study the existence of eigenvalues in the gap of the essential spectrum of the one-dimensional Dirac operator in the presence of a bounded potential. We employ a generalized variational principle to prove existence of such
Externí odkaz:
http://arxiv.org/abs/2408.12697