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Volumn 189, Issue 1, 1997, Pages 205-226

Long time stability of some small amplitude solutions in nonlinear Schrödinger equations

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EID: 0031518064     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050196     Document Type: Article
Times cited : (13)

References (14)
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    • (1993) J. Stat. Phys. , vol.71 , pp. 569-606
    • Bambusi, D.1    Giorgilli, A.2
  • 2
    • 0039267837 scopus 로고
    • A Nekhoroshev - Type theorem for the Pauli-Fierz model of classical electrodynamics
    • Bambusi, D.: A Nekhoroshev - Type Theorem for the Pauli-Fierz Model of Classical Electrodynamics. Ann. Inst. Henri Poincaré, Physique théorique 60, 339-371 (1994)
    • (1994) Ann. Inst. Henri Poincaré, Physique Théorique , vol.60 , pp. 339-371
    • Bambusi, D.1
  • 3
    • 0001613693 scopus 로고    scopus 로고
    • Exponential stability of breathers in Hamiltonian chains of weakly coupled oscillators
    • Bambusi, D.: Exponential Stability of Breathers in Hamiltonian Chains of Weakly Coupled Oscillators. Nonlinearity 9, 433-457 (1996)
    • (1996) Nonlinearity , vol.9 , pp. 433-457
    • Bambusi, D.1
  • 5
    • 17944387090 scopus 로고
    • Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equation
    • Bourgain, J.: Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equation. GAFA 6, 201-230 (1995)
    • (1995) GAFA , vol.6 , pp. 201-230
    • Bourgain, J.1
  • 7
    • 84990576596 scopus 로고
    • Newton's method and periodic solutions of nonlinear wave equations
    • Craig, W., Wayne, C.E.: Newton's Method and Periodic Solutions of Nonlinear Wave Equations. Comm. Pure and Appl. Math. 46, 1409-1501 (1993)
    • (1993) Comm. Pure and Appl. Math. , vol.46 , pp. 1409-1501
    • Craig, W.1    Wayne, C.E.2
  • 8
    • 0003313133 scopus 로고
    • Properties of infinite dimensional Hamiltonian systems
    • Berlin-Heidelberg-New York: Springer Verlag
    • Chernoff, M.P., Marsden, J.E.: Properties of Infinite Dimensional Hamiltonian Systems. Lect. Notes Math. 425, Berlin-Heidelberg-New York: Springer Verlag, 1974
    • (1974) Lect. Notes Math. , vol.425
    • Chernoff, M.P.1    Marsden, J.E.2
  • 9
    • 0039267836 scopus 로고
    • Exponential stability for time dependent potentials
    • Giorgilli, A., Zehnder, E.: Exponential stability for time dependent potentials. J. Appl. Math. Phys. 43, 827-855, (1992)
    • (1992) J. Appl. Math. Phys. , vol.43 , pp. 827-855
    • Giorgilli, A.1    Zehnder, E.2
  • 10
    • 0001836195 scopus 로고
    • Nearly integrable infinite-dimensional Hamiltonian systems
    • Berlin-Heidelberg-New York: Springer
    • Kuksin, S.B.: Nearly Integrable Infinite-Dimensional Hamiltonian Systems. Lect. Notes Math. 1556, Berlin-Heidelberg-New York: Springer, 1994
    • (1994) Lect. Notes Math. , vol.1556
    • Kuksin, S.B.1
  • 11
    • 0040157758 scopus 로고
    • Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
    • Kuksin, S.B., Pöschel, J.: Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Ann. of Math. 142, 149-179 (1995)
    • (1995) Ann. of Math. , vol.142 , pp. 149-179
    • Kuksin, S.B.1    Pöschel, J.2
  • 12
    • 0012536697 scopus 로고
    • Behaviour of Hamiltonian systems close to integrable
    • Nekhoroshev, N.N.: Behaviour of Hamiltonian systems close to integrable. Funct. Anal. and Appl. 5, 338-339 (1971)
    • (1971) Funct. Anal. and Appl. , vol.5 , pp. 338-339
    • Nekhoroshev, N.N.1
  • 13
    • 84908024292 scopus 로고
    • Exponential estimate of the stability time of near integrable Hamiltonian systems
    • Nekhoroshev, N.N.: Exponential estimate of the stability time of near integrable Hamiltonian systems. Russ. Math. Surv. 32 (6), 1-65 (1977)
    • (1977) Russ. Math. Surv. , vol.32 , Issue.6 , pp. 1-65
    • Nekhoroshev, N.N.1
  • 14
    • 0000502263 scopus 로고
    • Periodic and quasi-periodic solutions of nonlinear wave equation via KAM theory
    • Wayne, C.E.: Periodic and Quasi-periodic Solutions of Nonlinear Wave Equation via KAM Theory. Commun. Math. Phys. 127, 479-528 (1990)
    • (1990) Commun. Math. Phys. , vol.127 , pp. 479-528
    • Wayne, C.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.