TITLE

On the Eigenvalues of Finitely Perturbed Laplace Operators in Infinite Cylindrical Domains

AUTHOR(S)
Grushin, V. V.
PUB. DATE
March 2004
SOURCE
Mathematical Notes;Mar/Apr2004, Vol. 75 Issue 3/4, p331
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, sufficient conditions for the existence of eigenvalues of a finitely perturbed Laplace operator in an infinite cylindrical domain and their asymptotics in the small parameter are given. Similar questions for tubes, i.e., deformed cylinders, are also considered.
ACCESSION #
16823053

Tags: EIGENVALUES;  MATRICES;  HILL determinant;  ASYMPTOTIC expansions

 

Related Articles

  • Strong-electric-field eigenvalue asymptotics for the Iwatsuka model. Shirai, Shin-ichi // Journal of Mathematical Physics;May2005, Vol. 46 Issue 5, p052112 

    We consider the two-dimensional Schr�dinger operator, [This equation can not be converted into ASCII.txt], where V is a non-negative scalar potential decaying at infinity like [This equation can not be converted into ASCII.txt], and (0,b(x)) is a magnetic vector potential. Here, b is of the...

  • Generalized block triangular preconditioner for symmetric saddle point problems. Wu, Shi-Liang; Huang, Ting-Zhu; Li, Cui-Xia // Computing;Jun2009, Vol. 84 Issue 3/4, p183 

    In this paper, spectral properties and computational performance of a generalized block triangular preconditioner for symmetric saddle point problems are discussed in detail. We will provide estimates for the region containing both the nonreal and the real eigenvalues and generalize the results...

  • On an Average over the Gaussian Unitary Ensemble. Mezzadri, Francesco; Man Yue Mo // IMRN: International Mathematics Research Notices;Sep2009, Vol. 2009 Issue 18, p3486 

    We study the asymptotic limit for large matrix dimension N of the partition function of the unitary ensemble (� = 2) with weight . We compute the leading-order term of the partition function and the coefficients of its Taylor expansion. Our results are valid in the region . Such a partition...

  • H. Weyl�s Asymptotics and Rankin Convolutions. Vinogradov, A. // Journal of Mathematical Sciences;Oct2005, Vol. 130 Issue 3, p4665 

    A well-known H. Weyl�s asymptotics for eigenvalues is obtained by an arithmetic method. For congruence groups, the remainder in this asymptotics is a square root of the principal term. Bibliography: 14 titles.

  • On the Asymptotic Behavior of Distributions of First-Passage Times, II. Borovkov, A. A. // Mathematical Notes;Mar/Apr2004, Vol. 75 Issue 3/4, p322 

    In this paper, the asymptotic behavior of and estimates for the distribution of first-passage times for a random walk with nonzero drift are obtained in the case of passage of zero level (in both directions).

  • The Singular Set for the Composite Membrane Problem. Shahgholian, Henrik // Communications in Mathematical Physics;Mar2007, Vol. 271 Issue 1, p93 

    In this paper we study the behavior of the singular set for solutions u to the free boundary problem with $$f > 0$$ , f( x) + g( x) < 0, and $$f,g \in C^\alpha$$ . Such problems arise in an eigenvalue optimization for composite membranes. Here we show that if for a singular point $$z\in...

  • Eigenvalue branches of the perturbed Maxwell operator M+?D in a gap of s(M). Dong Miao // Journal of Mathematical Physics;Nov2008, Vol. 49 Issue 11, p113508 

    The propagation of guided waves in photonic crystal fibers (PCFs) is studied. A PCF can be regarded as a perfectly two dimensional photonic crystal with a line defect along the axial direction. This problem can be treated as an eigenvalue problem for a family of noncompact self-adjoint...

  • A Random Matrix Decimation Procedure Relating � = 2/( r + 1) to � = 2( r + 1). Forrester, Peter // Communications in Mathematical Physics;Jan2009, Vol. 285 Issue 2, p653 

    Classical random matrix ensembles with orthogonal symmetry have the property that the joint distribution of every second eigenvalue is equal to that of a classical random matrix ensemble with symplectic symmetry. These results are shown to be the case r = 1 of a family of inter-relations between...

  • The asymptotic iteration method for the angular spheroidal eigenvalues with arbitrary complex size parameter c. Barakat, T.; Abodayeh, K.; Abdallah, B.; Al-Dossary, O. M. // Canadian Journal of Physics;Feb2006, Vol. 84 Issue 2, p121 

    The asymptotic iteration method is applied to calculate the angular spheroidal eigenvalues (c) with arbitrary complex size parameter c. It is shown that the numerical results obtained for (c) are all in excellent agreement with the available published data over the full range of...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics