메뉴 건너뛰기




Volumn 52, Issue 6, 2001, Pages 1033-1052

Normal form and exponential stability for some nonlinear string equations

Author keywords

Nekhoroshev theorem; Resonant PDE's; String equation

Indexed keywords


EID: 0035541517     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001582     Document Type: Article
Times cited : (16)

References (16)
  • 2
    • 0040531568 scopus 로고    scopus 로고
    • Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations
    • D. Bambusi, Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations. Math. Z. 130 (1999), 345-387.
    • (1999) Math. Z. , vol.130 , pp. 345-387
    • Bambusi, D.1
  • 3
    • 0033164277 scopus 로고    scopus 로고
    • On long time stability in Hamiltonian perturbations of nonresonant linear PDE's
    • D. Bambusi, On long time stability in Hamiltonian perturbations of nonresonant linear PDE's, Nonlinearity 12 (1999), 823-850.
    • (1999) Nonlinearity , vol.12 , pp. 823-850
    • Bambusi, D.1
  • 4
    • 0003078970 scopus 로고    scopus 로고
    • A property of exponential stability in nonlinear wave equation near the fundamental linear mode
    • D. Bambusi, N.N. Nekhoroshev, A property of exponential stability in nonlinear wave equation near the fundamental linear mode. Physica D 122 (1998), 73-104.
    • (1998) Physica D , vol.122 , pp. 73-104
    • Bambusi, D.1    Nekhoroshev, N.N.2
  • 5
    • 0002663649 scopus 로고    scopus 로고
    • Families of periodic solutions of resonant PDE's
    • D. Bambusi, S. Paleari, Families of periodic solutions of resonant PDE's. J. Nonlinear Sci. 11 no. 1 (2001), 69-87.
    • (2001) J. Nonlinear Sci. , vol.11 , Issue.1 , pp. 69-87
    • Bambusi, D.1    Paleari, S.2
  • 6
    • 0003295595 scopus 로고    scopus 로고
    • Nonlinear Schrödinger equations
    • L. Caffarelli, E. Weinan, eds., IAS/Park City mathematics series 5. American Mathematical Society Providence, Rhode Island
    • J. Bourgain, Nonlinear Schrödinger equations. In Hyperbolic equations and frequency interactions, L. Caffarelli, E. Weinan, eds., IAS/Park City mathematics series 5. American Mathematical Society (Providence, Rhode Island 1999).
    • (1999) Hyperbolic Equations and Frequency Interactions
    • Bourgain, J.1
  • 7
    • 0002492231 scopus 로고    scopus 로고
    • Periodic solutions of nonlinear wave equations
    • Chicago, IL; Chicago Lectures in Math. Univ. Chicago Press; Chicago, IL
    • J. Bourgain, Periodic solutions of nonlinear wave equations. In Harmonic analysis and partial differential equations (Chicago, IL, 1996)", 69-97; Chicago Lectures in Math. Univ. Chicago Press (Chicago, IL, 1999).
    • (1996) Harmonic Analysis and Partial Differential Equations , pp. 69-97
    • Bourgain, J.1
  • 8
    • 84990576596 scopus 로고
    • Newton's method and periodic solutions of nonlinear wave equations
    • W. Craig, C.E. Wayne, Newton's Method and Periodic Solutions of Nonlinear Wave Equations Comm. Pure and Appl. Math. 46 (1993), 1409-1501.
    • (1993) Comm. Pure and Appl. Math. , vol.46 , pp. 1409-1501
    • Craig, W.1    Wayne, C.E.2
  • 9
    • 0007269589 scopus 로고
    • Fine tuning of resonances and periodic solutions of Hamiltonian systems near equilibrium
    • G. F. Dell'Antonio, Fine tuning of resonances and periodic solutions of Hamiltonian systems near equilibrium Comm. Math. Phys. 120 (1989), 529-546.
    • (1989) Comm. Math. Phys. , vol.120 , pp. 529-546
    • Dell'Antonio, G.F.1
  • 10
    • 84988143979 scopus 로고
    • On a Galerkin-averaging method for weakly nonlinear wave equations
    • M. S. Krol, On a Galerkin-averaging method for weakly nonlinear wave equations. Math. Methods Appl. Sci. 11 (1989), 649-664.
    • (1989) Math. Methods Appl. Sci. , vol.11 , pp. 649-664
    • Krol, M.S.1
  • 11
    • 0001836195 scopus 로고
    • Nearly integrable infinite-dimensional hamiltonian systems
    • Springer
    • S. B. Kuksin, Nearly Integrable Infinite-Dimensional Hamiltonian Systems, Lect. Notes Math. 1556 (Springer 1994)
    • (1994) Lect. Notes Math. , pp. 1556
    • Kuksin, S.B.1
  • 13
    • 27544508207 scopus 로고    scopus 로고
    • Exponential stability of the approximate fundamental mode of a nonlinear wave equation
    • N. N. Nekhoroshev, Exponential stability of the approximate fundamental mode of a nonlinear wave equation. (Russian) Funktsional. Anal, i Prilozhen. 33 no. 1 (1999), 80-83.
    • (1999) Funktsional. Anal, I Prilozhen. , vol.33 , Issue.1 , pp. 80-83
    • Nekhoroshev, N.N.1
  • 14
    • 85129605434 scopus 로고    scopus 로고
    • A KAM-theorem for some partial differential equations
    • J. Pöschel, A KAM-Theorem for some Partial Differential Equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 23 (1996), 119-148.
    • (1996) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.23 , pp. 119-148
    • Pöschel, J.1
  • 15
    • 84988147500 scopus 로고
    • The Galerkin-averaging method for nonlinear, undamped continuous systems
    • A. C. J. Stroucken, F. Verhulst, The Galerkin-averaging method for nonlinear, undamped continuous systems. Math. Methods Appl. Sci. 9 (1987), 520-549.
    • (1987) Math. Methods Appl. Sci. , vol.9 , pp. 520-549
    • Stroucken, A.C.J.1    Verhulst, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.