The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems

Colin Clark

doi:10.1137/1009105

The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems

SIAM Review ◽

10.1137/1009105 ◽

1967 ◽

Vol 9 (4) ◽

pp. 627-646 ◽

Cited By ~ 42

Author(s):

Colin Clark

Keyword(s):

Boundary Value Problems ◽

Asymptotic Distribution ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Eigenvalues And Eigenfunctions ◽

Elliptic Boundary Value ◽

Distribution Of Eigenvalues

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Asymptotic distribution of eigenvalues and eigenfunctions for general linear elliptic boundary value problems

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1966-0198016-0 ◽

1966 ◽

Vol 122 (2) ◽

pp. 516-516 ◽

Cited By ~ 2

Author(s):

Bui An Ton

Keyword(s):

Boundary Value Problems ◽

Asymptotic Distribution ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

General Linear ◽

Eigenvalues And Eigenfunctions ◽

Elliptic Boundary Value ◽

Distribution Of Eigenvalues ◽

Linear Elliptic Boundary

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Asymptotic Distribution of Eigenvalues and Eigenfunctions for Non-Local Elliptic Boundary Value Problems, I

American Journal of Mathematics ◽

10.2307/2373230 ◽

1965 ◽

Vol 87 (1) ◽

pp. 175 ◽

Cited By ~ 15

Author(s):

Felix E. Browder

Keyword(s):

Boundary Value Problems ◽

Asymptotic Distribution ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Eigenvalues And Eigenfunctions ◽

Elliptic Boundary Value ◽

Distribution Of Eigenvalues ◽

Non Local

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Asymptotic expansions of eigenvalues and eigenfunctions for elliptic boundary-value problems with rapidly oscillating coefficients in a perforated cube

Journal of Mathematical Sciences ◽

10.1007/bf02368668 ◽

1995 ◽

Vol 75 (3) ◽

pp. 1646-1671 ◽

Cited By ~ 6

Author(s):

T. A. Melnik

Keyword(s):

Boundary Value Problems ◽

Asymptotic Expansions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Eigenvalues And Eigenfunctions ◽

Elliptic Boundary Value ◽

Oscillating Coefficients

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EXISTENCE OF COUPLED WEAK QUASI-SOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30195-4 ◽

1993 ◽

Vol 13 (1) ◽

pp. 102-110

Author(s):

Shixin Yang

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Quasilinear Elliptic

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Numerical solution of elliptic boundary-value problems for Schrödinger-type equations using the Kantorovich method

Mathematical Modelling and Geometry ◽

10.26456/mmg/2014-215 ◽

2014 ◽

Vol 2 (1) ◽

Author(s):

A.A. Gusev ◽

O. Chuluunbaatar ◽

S.I. Vinitsky ◽

A.G. Abrashkevich ◽

V.L. Derbov

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Kantorovich Method ◽

Elliptic Boundary Value

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Parallel black box $$\mathcal {H}$$ -LU preconditioning for elliptic boundary value problems

Computing and Visualization in Science ◽

10.1007/s00791-008-0098-9 ◽

2008 ◽

Vol 11 (4-6) ◽

pp. 273-291 ◽

Cited By ~ 34

Author(s):

Lars Grasedyck ◽

Ronald Kriemann ◽

Sabine Le Borne

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Black Box ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value

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A study of the method of approximate factorization for solving grid elliptic boundary-value problems

Mathematical Notes ◽

10.1007/bf01209557 ◽

1993 ◽

Vol 54 (3) ◽

pp. 923-933

Author(s):

A. B. Kucherov ◽

M. M. Makarov

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Approximate Factorization ◽

Elliptic Boundary Value

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Stability of the Rayleigh-Ritz-Galerkin procedure for elliptic boundary value problems

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700025417 ◽

1976 ◽

Vol 14 (3) ◽

pp. 471-472

Author(s):

Bernard J. Omodel

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Galerkin Procedure

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Improved scales of spaces and elliptic boundary-value problems. I

Ukrainian Mathematical Journal ◽

10.1007/s11253-006-0064-y ◽

2006 ◽

Vol 58 (2) ◽

pp. 244-262 ◽

Cited By ~ 13

Author(s):

V. A. Mikhailets ◽

A. A. Murach

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value

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MULTIPLE COMPLETENESS FOR A SYSTEM OF OPERATOR PENCILS AND ELLIPTIC BOUNDARY VALUE PROBLEMS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1991v069n01abeh001231 ◽

1991 ◽

Vol 69 (1) ◽

pp. 99-119 ◽

Cited By ~ 3

Author(s):

S Ya Yakubov

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Multiple Completeness ◽

Operator Pencils

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