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Volumn 195, Issue 3-4, 2004, Pages 263-282

Erratum: Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems (Physica D: Nonlinear Phenomena DOI: 10.1016/j.physd.2004.03.018);Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems

Author keywords

Hamiltonian; Krein signature; Nonlinear

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEARIZATION; MATHEMATICAL OPERATORS; NONLINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; THEOREM PROVING; WAVES;

EID: 3342994344     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.11.015     Document Type: Erratum
Times cited : (187)

References (19)
  • 1
    • 0005235678 scopus 로고
    • A topological invariant arising in the stability of travelling waves
    • Alexander J., Gardner R.A., Jones C.K.R.T., A topological invariant arising in the stability of travelling waves. J. Reine Angew. Math. 410:1990;167-212.
    • (1990) J. Reine Angew. Math. , vol.410 , pp. 167-212
    • Alexander, J.1    Gardner, R.A.2    Jones, C.K.R.T.3
  • 3
    • 0000894149 scopus 로고
    • Generic bifurcation of Hamiltonian vector fields with symmetry
    • Dellnitz M., Melbourne I., Marsden J.E., Generic bifurcation of Hamiltonian vector fields with symmetry. Nonlinearity. 5:1992;979-996.
    • (1992) Nonlinearity , vol.5 , pp. 979-996
    • Dellnitz, M.1    Melbourne, I.2    Marsden, J.E.3
  • 5
    • 84990623184 scopus 로고
    • Linearized instability for nonlinear Schrödinger and Klein-Gordon equations
    • Grillakis M., Linearized instability for nonlinear Schrödinger and Klein-Gordon equations. Comm. Pure Appl. Math. 46:1988;747-774.
    • (1988) Comm. Pure Appl. Math. , vol.46 , pp. 747-774
    • Grillakis, M.1
  • 6
    • 84990563336 scopus 로고
    • Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system
    • Grillakis M., Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system. Comm. Pure Appl. Math. 43:1990;299-333.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 299-333
    • Grillakis, M.1
  • 7
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry I
    • Grillakis M., Shatah J., Strauss W., Stability theory of solitary waves in the presence of symmetry I. J. Funct. Anal. 74:1987;160-197.
    • (1987) J. Funct. Anal. , vol.74 , pp. 160-197
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 8
    • 29444432472 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry II
    • Grillakis M., Shatah J., Strauss W., Stability theory of solitary waves in the presence of symmetry II. J. Funct. Anal. 94:1990;308-348.
    • (1990) J. Funct. Anal. , vol.94 , pp. 308-348
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 9
    • 0035427177 scopus 로고    scopus 로고
    • Stability of waves in perturbed Hamiltonian systems
    • Kapitula T., Stability of waves in perturbed Hamiltonian systems. Physica D. 156:2001;186-200.
    • (2001) Physica D , vol.156 , pp. 186-200
    • Kapitula, T.1
  • 11
    • 0002348145 scopus 로고    scopus 로고
    • Stability of bright solitary wave solutions to perturbed nonlinear Schrödinger equations
    • Kapitula T., Sandstede B., Stability of bright solitary wave solutions to perturbed nonlinear Schrödinger equations. Physica D. 124:1998;58-103.
    • (1998) Physica D , vol.124 , pp. 58-103
    • Kapitula, T.1    Sandstede, B.2
  • 12
    • 0036373932 scopus 로고    scopus 로고
    • Edge bifurcations for near integrable systems via Evans function techniques
    • Kapitula T., Sandstede B., Edge bifurcations for near integrable systems via Evans function techniques. SIAM J. Math. Anal. 33:2002;1117-1143.
    • (2002) SIAM J. Math. Anal. , vol.33 , pp. 1117-1143
    • Kapitula, T.1    Sandstede, B.2
  • 13
    • 0141708278 scopus 로고
    • Stability of equilibria of Hamiltonian systems
    • R.S. MacKay, J. Meiss (Eds.), Adam Hilger
    • R.S. MacKay, Stability of equilibria of Hamiltonian systems, in: R.S. MacKay, J. Meiss (Eds.), Hamiltonian Dynamical Systems, Adam Hilger, 1987, pp. 137-153.
    • (1987) Hamiltonian Dynamical Systems , pp. 137-153
    • Mackay, R.S.1
  • 14
    • 0006930895 scopus 로고
    • Movement of eigenvalues of Hamiltonian equilibria under non-Hamiltonian perturbation
    • MacKay R.S., Movement of eigenvalues of Hamiltonian equilibria under non-Hamiltonian perturbation. Phys. Lett. A. 155:1991;266-268.
    • (1991) Phys. Lett. A , vol.155 , pp. 266-268
    • Mackay, R.S.1
  • 15
    • 0002247515 scopus 로고
    • Restricted quadratic forms and their application to bifurcation and stability in constrained variational principles
    • Errata: SIAM J. Math. Anal. 19 (1988) 1256-1257
    • J.H. Maddocks, Restricted quadratic forms and their application to bifurcation and stability in constrained variational principles, SIAM J. Math. Anal. 16 (1) (1985) 47-68; Errata: SIAM J. Math. Anal. 19 (1988) 1256-1257.
    • (1985) SIAM J. Math. Anal. , vol.16 , Issue.1 , pp. 47-68
    • Maddocks, J.H.1
  • 16
    • 0003153102 scopus 로고
    • Eigenvalues, and instabilities of solitary waves
    • Pego R., Weinstein M., Eigenvalues, and instabilities of solitary waves. Phil. Trans. R. Soc. Lond. A. 340:1992;47-94.
    • (1992) Phil. Trans. R. Soc. Lond. A , vol.340 , pp. 47-94
    • Pego, R.1    Weinstein, M.2
  • 18
  • 19
    • 0035510329 scopus 로고    scopus 로고
    • Energy of internal modes of nonlinear waves and complex frequencies due to symmetry breaking
    • Skryabin D., Energy of internal modes of nonlinear waves and complex frequencies due to symmetry breaking. Phys. Rev. E. 64:2001;055601.
    • (2001) Phys. Rev. E , vol.64 , pp. 055601
    • Skryabin, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.