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Volumn 24, Issue 1, 2004, Pages 21-43

Spectral inclusion and spectral exactness for PDEs on exterior domains

Author keywords

Dirichlet to Neumann map; Eigenvalue problem; Exterior domain; Non self adjoint; Spectral exactness; Spectral inclusion; Sturm Liouville problem

Indexed keywords

DIRICHLET-TO-NEUMANN MAP; EIGENVALUE PROBLEM; EXTERIOR DOMAIN; NON-SELF-ADJOINT; SPECTRAL EXACTNESS; STURM-LIOUVILLE PROBLEM;

EID: 1642580772     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/24.1.21     Document Type: Article
Times cited : (21)

References (22)
  • 3
    • 0032353287 scopus 로고    scopus 로고
    • Adaptive finite elements for exterior domain problems
    • BÄNSCH, E. & DÖRFLER, W. (1998) Adaptive finite elements for exterior domain problems. Numer. Math., 80, 497-523.
    • (1998) Numer. Math. , vol.80 , pp. 497-523
    • Bänsch, E.1    Dörfler, W.2
  • 4
    • 0001624223 scopus 로고    scopus 로고
    • On the spectrum of second-order differential operators with complex coefficients
    • BROWN, B. M., McCORMACK, D. K. R., EVANS, W. D. & PLUM, M. (1999) On the spectrum of second-order differential operators with complex coefficients. Proc. R. Soc. Lond. A, 455, 1235-1257.
    • (1999) Proc. R. Soc. Lond. A , vol.455 , pp. 1235-1257
    • Brown, B.M.1    McCormack, D.K.R.2    Evans, W.D.3    Plum, M.4
  • 6
    • 57249114453 scopus 로고    scopus 로고
    • Spectral inclusion and spectral exactness for non-self-adjoint Sturm-Liouville problems
    • BROWN, B. M. & MARLETTA, M. (2001) Spectral inclusion and spectral exactness for non-self-adjoint Sturm-Liouville problems. Proc. R. Soc. Lond. A, 457, 117-139.
    • (2001) Proc. R. Soc. Lond. A , vol.457 , pp. 117-139
    • Brown, B.M.1    Marletta, M.2
  • 7
    • 1642569840 scopus 로고    scopus 로고
    • Spectral inclusion and spectral exactness for non-self-adjoint Hamiltonian Systems
    • to appear
    • BROWN, B. M. & MARLETTA, M. (2004) Spectral inclusion and spectral exactness for non-self-adjoint Hamiltonian Systems. Proc R. Soc. Lond., to appear.
    • (2004) Proc R. Soc. Lond.
    • Brown, B.M.1    Marletta, M.2
  • 8
    • 58149363749 scopus 로고
    • Eigenvalues and resonances for domains with tubes: Neumann boundary conditions
    • BROWN, R., HISLOP, P. D. & MARTINEZ, A. (1995) Eigenvalues and resonances for domains with tubes: Neumann boundary conditions. J. Diff. Eq., 115, 458-476.
    • (1995) J. Diff. Eq. , vol.115 , pp. 458-476
    • Brown, R.1    Hislop, P.D.2    Martinez, A.3
  • 9
    • 33746427101 scopus 로고    scopus 로고
    • Pseudo-spectra, the harmonic oscillator and complex resonances
    • DAVIES, E. B. (1999) Pseudo-spectra, the harmonic oscillator and complex resonances. Proc. R. Soc. Lond. A, 455, 585-599.
    • (1999) Proc. R. Soc. Lond. A , vol.455 , pp. 585-599
    • Davies, E.B.1
  • 12
    • 84966231058 scopus 로고
    • Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains
    • HÄGSTROM, T. & KELLER, H. B. (1987) Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains. Math. Comp., 48, 449-470.
    • (1987) Math. Comp. , vol.48 , pp. 449-470
    • Hägstrom, T.1    Keller, H.B.2
  • 13
    • 84927751062 scopus 로고
    • On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order
    • LANGER, R. (1932) On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order. Trans. Amer. Math. Soc., 34, 447-480.
    • (1932) Trans. Amer. Math. Soc. , vol.34 , pp. 447-480
    • Langer, R.1
  • 14
    • 0000426306 scopus 로고
    • Reconstructions from boundary measurements
    • NACHMAN, A. I. (1988) Reconstructions from boundary measurements. Ann. Math., 128, 531-576.
    • (1988) Ann. Math. , vol.128 , pp. 531-576
    • Nachman, A.I.1
  • 16
    • 0000758187 scopus 로고
    • Spectral approximation for compact operators
    • OSBORNE, J. E. (1975) Spectral approximation for compact operators. Math. Comput., 29, 712-725.
    • (1975) Math. Comput. , vol.29 , pp. 712-725
    • Osborne, J.E.1
  • 17
    • 0001768327 scopus 로고
    • On separation conditions for the spectral components of a dissipative operator
    • PAVLOV, B. S. (1975) On separation conditions for the spectral components of a dissipative operator. Math. USSR Izvestija, 9, 113-137.
    • (1975) Math. USSR Izvestija , vol.9 , pp. 113-137
    • Pavlov, B.S.1
  • 21
    • 1642488450 scopus 로고    scopus 로고
    • WRIGHT, T. G. http://www.comlab.ox.ac.uk/projects/pseudospectra/eigtool/.
    • Wright, T.G.1
  • 22
    • 23044530663 scopus 로고    scopus 로고
    • A remark on a paper of E. B. Davies
    • ZWORSKI, M. (2001) A remark on a paper of E. B. Davies. Proc. Amer. Math. Soc., 129, 2955-2957.
    • (2001) Proc. Amer. Math. Soc. , vol.129 , pp. 2955-2957
    • Zworski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.