메뉴 건너뛰기




Volumn 80, Issue , 2000, Pages 1-35

On diffusion in high-dimensional Hamiltonian systems and PDE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012590987     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02791532     Document Type: Article
Times cited : (78)

References (14)
  • 1
    • 0031518064 scopus 로고    scopus 로고
    • Long time stability of some small amplitude solutions in nonlinear Schrödinger equations
    • [Bam1]
    • [Bam1] D. Bambusi, Long time stability of some small amplitude solutions in nonlinear Schrödinger equations, Comm. Math. Phys. 189 (1997), 205-226.
    • (1997) Comm. Math. Phys. , vol.189 , pp. 205-226
    • Bambusi, D.1
  • 2
    • 0040531568 scopus 로고    scopus 로고
    • Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations
    • [Bam2]
    • [Bam2] D. Bambusi, Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations, Math. Z. 230 (1999), 345-387.
    • (1999) Math. Z. , vol.230 , pp. 345-387
    • Bambusi, D.1
  • 3
    • 9344263594 scopus 로고    scopus 로고
    • [Bo1], Park City Lectures, Amer. Math. Soc., Providence
    • [Bo1] J. Bourgain, Nonlinear Schrödinger Equations, Park City Lectures, Amer. Math. Soc., Providence, 1999.
    • (1999) Nonlinear Schrödinger Equations
    • Bourgain, J.1
  • 4
    • 0003230767 scopus 로고    scopus 로고
    • Global solutions of nonlinear Schrödinger equations
    • [Bo2]
    • [Bo2] J. Bourgain, Global Solutions of Nonlinear Schrödinger Equations, Amer. Math. Soc. Colloq. Publ. 46 (1999).
    • (1999) Amer. Math. Soc. Colloq. Publ. , vol.46
    • Bourgain, J.1
  • 5
    • 1842450240 scopus 로고    scopus 로고
    • On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE
    • [Bo3]
    • [Bo3] J. Bourgain, On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE, Internat. Math. Res. Notices No. 6, (1996), 277-304.
    • (1996) Internat. Math. Res. Notices , vol.6 , pp. 277-304
    • Bourgain, J.1
  • 6
    • 17944387090 scopus 로고    scopus 로고
    • Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
    • [Bo4]
    • [Bo4] J. Bourgain, Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations, Geom. Funct. Anal. 6 (1996), 201-230.
    • (1996) Geom. Funct. Anal. , vol.6 , pp. 201-230
    • Bourgain, J.1
  • 7
    • 0003175350 scopus 로고
    • A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom
    • [B-F-G]
    • [B-F-G] G. Benettin, J. Fröhlich and A. Giorgili, A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom, Comm. Math. Phys. 119 (1989), 95-108.
    • (1989) Comm. Math. Phys. , vol.119 , pp. 95-108
    • Benettin, G.1    Fröhlich, J.2    Giorgili, A.3
  • 10
    • 84871144318 scopus 로고    scopus 로고
    • [K], Private communication
    • [K] S. Kuksin, Private communication.
    • Kuksin, S.1
  • 11
    • 0040157758 scopus 로고    scopus 로고
    • Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
    • [K-P]
    • [K-P] S. Kuksin and J. Pöschel, Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Ann. of Math. (2) 143 (1996), 149-179.
    • (1996) Ann. of Math. (2) , vol.143 , pp. 149-179
    • Kuksin, S.1    Pöschel, J.2
  • 12
    • 0001926710 scopus 로고
    • Canonical perturbation theory via simultaneous approximation
    • [Lo]
    • [Lo] P. Lochak, Canonical perturbation theory via simultaneous approximation, Uspekhi Mat. Nauk 47 (6) (1992) 59-140.
    • (1992) Uspekhi Mat. Nauk , vol.47 , Issue.6 , pp. 59-140
    • Lochak, P.1
  • 13
    • 0002650276 scopus 로고
    • An exponential estimate of the time of stability of nearly integrable Hamiltonian systems
    • [N]
    • [N] N. Nekhoroshev, An exponential estimate of the time of stability of nearly integrable Hamiltonian systems, Uspekhi Mat. Nauk 32 (1) (1977), 5-66
    • (1977) Uspekhi Mat. Nauk , vol.32 , Issue.1 , pp. 5-66
    • Nekhoroshev, N.1
  • 14
    • 0002487390 scopus 로고    scopus 로고
    • Quadratic forms for a 2D semilinear Schrödinger equation
    • [St]
    • [St] G. Staffilani, Quadratic forms for a 2D semilinear Schrödinger equation, Duke Math. J. 86 (1997), 79-108.
    • (1997) Duke Math. J. , vol.86 , pp. 79-108
    • Staffilani, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.