메뉴 건너뛰기




Volumn 46, Issue 5, 2005, Pages

Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 18844390032     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1901345     Document Type: Article
Times cited : (23)

References (13)
  • 1
    • 0035595894 scopus 로고    scopus 로고
    • Stabilization of solutions to nonlinear Schrödinger equations
    • Cuccagna, S., " Stabilization of solutions to nonlinear Schrödinger equations., " Commun. Pure Appl. Math. 54, 1110-1145 (2001).
    • (2001) Commun. Pure Appl. Math. , vol.54 , pp. 1110-1145
    • Cuccagna, S.1
  • 2
    • 10244243814 scopus 로고    scopus 로고
    • Spectra of positive and negative energies in the linearized NLS problem
    • Cuccagna, S., Pelinovsky, D., and Vougalter, V., " Spectra of positive and negative energies in the linearized NLS problem., " Commun. Pure Appl. Math. 58, 1-29 (2005).
    • (2005) Commun. Pure Appl. Math. , vol.58 , pp. 1-29
    • Cuccagna, S.1    Pelinovsky, D.2    Vougalter, V.3
  • 3
    • 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., " Commun. Pure Appl. Math. 43, 299-333 (1990).
    • (1990) Commun. Pure Appl. Math. , vol.43 , pp. 299-333
    • Grillakis, M.1
  • 4
    • 84972568716 scopus 로고
    • Spectral properties of Schrödinger operators and time decay of the wave functions
    • Jensen, A. and Kato, T., " Spectral properties of Schrödinger operators and time decay of the wave functions., " Duke Math. J. 46, 583-611 (1979).
    • (1979) Duke Math. J. , vol.46 , pp. 583-611
    • Jensen, A.1    Kato, T.2
  • 5
    • 0036373932 scopus 로고    scopus 로고
    • Edge bifurcations for near integrable systems via Evans function techniques
    • Kapitula, T. and Sandstede, B., " Edge bifurcations for near integrable systems via Evans function techniques., " SIAM J. Math. Anal. 33, 1117-1143 (2002).
    • (2002) SIAM J. Math. Anal. , vol.33 , pp. 1117-1143
    • Kapitula, T.1    Sandstede, B.2
  • 6
    • 2942679820 scopus 로고    scopus 로고
    • Eigenvalues and resonances using the Evans function
    • Kapitula, T. and Sandstede, B., " Eigenvalues and resonances using the Evans function., " Discrete Contin. Dyn. Syst. 10, 857-569 (2004).
    • (2004) Discrete Contin. Dyn. Syst. , vol.10 , pp. 857-1569
    • Kapitula, T.1    Sandstede, B.2
  • 7
    • 3342994344 scopus 로고    scopus 로고
    • Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
    • Kapitula, T., Kevrekidis, P., and Sandstede, B., " Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems., " Physica D 195, 263-282 (2004).
    • (2004) Physica D , vol.195 , pp. 263-282
    • Kapitula, T.1    Kevrekidis, P.2    Sandstede, B.3
  • 8
    • 0000570999 scopus 로고
    • Wave operators and similarity for some non-selfadjoint operators
    • Kato, T., " Wave operators and similarity for some non-selfadjoint operators., " Math. Ann. 162, 258-269 (1966).
    • (1966) Math. Ann. , vol.162 , pp. 258-269
    • Kato, T.1
  • 9
    • 0001569069 scopus 로고
    • Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
    • Klaus, M. and Simon, B., " Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case., " Ann. Phys. (N.Y.) 130, 251-281 (1980).
    • (1980) Ann. Phys. (N.Y.) , vol.130 , pp. 251-281
    • Klaus, M.1    Simon, B.2
  • 10
    • 8744309907 scopus 로고    scopus 로고
    • Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equation
    • Perelman, G., " Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equation. ", Commun. Partial Differ. Equ. 29, 1051-1095 (2004)
    • (2004) Commun. Partial Differ. Equ. , vol.29 , pp. 1051-1095
    • Perelman, G.1
  • 13
    • 0036946822 scopus 로고    scopus 로고
    • Stable directions for excited states of nonlinear Schrödinger equations
    • Tsai, T. P. and Yau, H. T. " Stable directions for excited states of nonlinear Schrödinger equations., " Commun. Partial Differ. Equ. 27, 2363-2402 (2002).
    • (2002) Commun. Partial Differ. Equ. , vol.27 , pp. 2363-2402
    • Tsai, T.P.1    Yau, H.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.