On Aharonov–Bohm Operators with Two Colliding Poles [PDF]
Advanced Nonlinear Studies, 2017 We consider Aharonov–Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eigenfunction.
Abatangelo Laura +2 more
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Copy-number variations observed in a Japanese population by BAC array CGH: summary of relatively rare CNVs. [PDF]
J Biomed Biotechnol, 2012 Copy‐number variations (CNVs) may contribute to genetic variation in humans. Reports regarding existence and characteristics of CNVs in a large apparently healthy Japanese cohort are quite limited. We report the data from a screening of 213 unrelated Japanese individuals using comparative genomic hybridization based on a bacterial artificial chromosome
Satoh Y +5 more
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A proof of a trace formula by Richard Melrose
Advanced Nonlinear Studies, 2023 The goal of this article is to give a new proof of the wave trace formula proved by Richard Melrose in an impressive article. This trace formula is an extension of the Chazarain-Duistermaat-Guillemin trace formula (denoted as “CDG trace formula” in this ...
Colin de Verdière Yves
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NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS
Forum of Mathematics, Sigma, 2017 We consider the spectral behavior and noncommutative geometry of commutators $[P,f]$ , where ...
HEIKO GIMPERLEIN, MAGNUS GOFFENG
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An inertial manifold and the principle of spatial averaging
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 293-299, 2001., 2001 We examine the existence of inertial manifold of a class of differential equations with particular boundary conditions.
Hyukjin Kwean
wiley +1 more source
Nonlocal boundary value problem for second order abstract elliptic differential equation
Abstract and Applied Analysis, Volume 4, Issue 3, Page 153-168, 1999., 1999 We establish conditions that guarantee Fredholm solvability in the Banach space Lp of nonlocal boundary value problems for elliptic abstract differential equations of the second order in an interval. Moreover, in the space L2 we prove in addition the coercive solvability, and the completeness of root functions (eigenfunctions and associated functions).
Mohamed Denche
wiley +1 more source
Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 171-180, 1998., 1998 Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Martin Schechter
wiley +1 more source
On the asymptotic number of low-lying states in the two-dimensional confined Stark effect
Forum of Mathematics, SigmaWe investigate the Stark operator restricted to a bounded domain $\Omega \subset \mathbb {R}^2$ with Dirichlet boundary conditions. In the semiclassical limit, a three-term asymptotic expansion for its individual eigenvalues has been established ...
Larry Read
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Analytic Eigenbranches in the Semi-classical Limit. [PDF]
Complex Anal Oper Theory, 2020 Haller S.
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A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds, II
Open Mathematics, 2009 Nowak Werner
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