메뉴 건너뛰기




Volumn 71, Issue 1, 1996, Pages 269-296

Quasi-periodic solutions for a nonlinear wave equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030443654     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02566420     Document Type: Article
Times cited : (226)

References (12)
  • 1
    • 51249162098 scopus 로고
    • The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation
    • A. I. BOBENKO and S. B. KUKSIN, The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation, Comm. Math. Helv. 70 (1995), 63-112.
    • (1995) Comm. Math. Helv. , vol.70 , pp. 63-112
    • Bobenko, A.I.1    Kuksin, S.B.2
  • 2
    • 84963026889 scopus 로고
    • Construction of quasi-periodic solutions for hamiltonian perturbations of linear equations and applications to nonlinear pde
    • J. BOURGAIN, Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear pde, IMRN (1994), 475-497.
    • (1994) IMRN , pp. 475-497
    • Bourgain, J.1
  • 3
    • 84966219315 scopus 로고
    • Periodic solutions of nonlinear vibrating strings and duality principles
    • H. BREZIS, Periodic solutions of nonlinear vibrating strings and duality principles, Bull. Am. Math. Soc. 8 (1983), 409-426.
    • (1983) Bull. Am. Math. Soc. , vol.8 , pp. 409-426
    • Brezis, H.1
  • 4
    • 84990576596 scopus 로고
    • Newton's method and periodic solutions of nonlinear wave equations
    • W. CRAIG and C. E. WAYNE, Newton's method and periodic solutions of nonlinear wave equations, Commun. Pure Appl. Math. 46 (1993), 1409-1498.
    • (1993) Commun. Pure Appl. Math. , vol.46 , pp. 1409-1498
    • Craig, W.1    Wayne, C.E.2
  • 5
    • 0001836195 scopus 로고
    • Nearly integrable infinite-dimensional hamiltonian systems
    • Springer, Berlin
    • S. B. KUKSIN, Nearly integrable infinite-dimensional Hamiltonian systems. Lecture Notes in Mathematics 1556, Springer, Berlin, 1993.
    • (1993) Lecture Notes in Mathematics , vol.1556
    • Kuksin, S.B.1
  • 6
    • 0011304424 scopus 로고    scopus 로고
    • Invariant cantor manifolds of quasiperiodic oscillations for a nonlinear schrödinger equation
    • to appear
    • S. B. KUKSIN and P. PÖSCHEL, Invariant Cantor manifolds of quasiperiodic oscillations for a nonlinear Schrödinger equation, Ann. Math, (to appear).
    • Ann. Math
    • Kuksin, S.B.1    Pöschel, P.2
  • 7
    • 0000882204 scopus 로고
    • On elliptic lower dimensional tori in hamiltonian systems
    • J. PÖSCHEL, On elliptic lower dimensional tori in hamiltonian systems. Math. Z. 202 (1989), 559-608.
    • (1989) Math. Z. , vol.202 , pp. 559-608
    • Pöschel, J.1
  • 8
    • 0000183207 scopus 로고    scopus 로고
    • A KAM-theorem for some nonlinear partial differential equations
    • to appear
    • J. PÖSCHEL, A KAM-theorem for some nonlinear partial differential equations, Ann. Sc. Norm. Sup. Pisa (to appear).
    • Ann. Sc. Norm. Sup. Pisa
    • Pöschel, J.1
  • 10
    • 84980131053 scopus 로고
    • Free vibrations for a semilinear wave equation
    • P. H. RABINOWITZ, Free vibrations for a semilinear wave equation, Commun. Pure Appl. Math. 31 (1978), 31-68.
    • (1978) Commun. Pure Appl. Math. , vol.31 , pp. 31-68
    • Rabinowitz, P.H.1
  • 11
    • 84990596813 scopus 로고
    • Large amplitude time periodic solutions of a semi-linear wave equation, commun
    • P. H. RABINOWITZ, Large amplitude time periodic solutions of a semi-linear wave equation, Commun. Pure Appl. Math. 37 (1984), 189-206.
    • (1984) Pure Appl. Math. , vol.37 , pp. 189-206
    • Rabinowitz, P.H.1
  • 12
    • 0000502263 scopus 로고
    • Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
    • C. E. WAYNE, Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory, Comm. Math. Phys. 127 (1990), 479-528.
    • (1990) Comm. Math. Phys. , vol.127 , pp. 479-528
    • Wayne, C.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.