메뉴 건너뛰기




Volumn 5, Issue 4, 2006, Pages 691-708

Global well-posedness in Sobolev space implies global existence for weighted L2 initial data for L2-critical NLS

Author keywords

Nonlinear Schrodinger; Pseudoconformal; Well posedness

Indexed keywords


EID: 33751179203     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2006.5.691     Document Type: Article
Times cited : (10)

References (11)
  • 2
    • 0003230767 scopus 로고    scopus 로고
    • Global solutions of nonlinear Schrödinger equations
    • American Mathematical Society, Providence, R.I.
    • J. Bourgain, Global solutions of nonlinear Schrödinger equations AMS Colloquium Publications, 46. American Mathematical Society, Providence, R.I., 1999.
    • (1999) AMS Colloquium Publications , vol.46
    • Bourgain, J.1
  • 3
    • 5444256656 scopus 로고    scopus 로고
    • Semilinear Schrödinger equations
    • American Mathematical Society, Providence, R.I.
    • T. Cazenave, Semilinear Schrödinger equations, Courant Lecture Notes in Mathematics, 10. American Mathematical Society, Providence, R.I., 2003.
    • (2003) Courant Lecture Notes in Mathematics , vol.10
    • Cazenave, T.1
  • 5
    • 0348218177 scopus 로고    scopus 로고
    • Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
    • math.AP/0203044
    • M. Christ, J. Colliander, and T. Tao, Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations, Amer. J. Math, 125 (2003), 1235-1293, math.AP/0203044.
    • (2003) Amer. J. Math , vol.125 , pp. 1235-1293
    • Christ, M.1    Colliander, J.2    Tao, T.3
  • 6
    • 0036771238 scopus 로고    scopus 로고
    • Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation
    • math.AP/0203218
    • J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao, Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation, Math. Res. Lett., 9 (2003), 659-682. math.AP/0203218
    • (2003) Math. Res. Lett. , vol.9 , pp. 659-682
    • Colliander, J.1    Keel, M.2    Staffilani, G.3    Takaoka, H.4    Tao, T.5
  • 7
    • 85050669204 scopus 로고
    • The global Cauchy problem for the nonlinear Schrödinger equation revisited
    • J. Ginibre and G. Velo, The global Cauchy problem for the nonlinear Schrödinger equation revisited, Ann. Inst. H. Poincaré Anal. Non Linéaire, 2 (1985), 309-327.
    • (1985) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.2 , pp. 309-327
    • Ginibre, J.1    Velo, G.2
  • 9
    • 0003405464 scopus 로고    scopus 로고
    • Nonlinear Schroedinger equations: Self-focusing and wave collapse
    • Springer, New York
    • C. Sulem and P. Sulem, Nonlinear Schroedinger Equations: Self-Focusing and Wave Collapse. Applied Mathematical Sciences, 139. Springer, New York, 1999.
    • (1999) Applied Mathematical Sciences , vol.139
    • Sulem, C.1    Sulem, P.2
  • 10
    • 84968511090 scopus 로고
    • The asymptotic behavior of NLS equations
    • Y. Tsutsumi and K. Yajima, The asymptotic behavior of NLS equations, Bull. Amer. Math. Soc., 11 (1984), 186-188.
    • (1984) Bull. Amer. Math. Soc. , vol.11 , pp. 186-188
    • Tsutsumi, Y.1    Yajima, K.2
  • 11
    • 0041473959 scopus 로고
    • Nonlinear Schrödinger equations and sharp interpolation estimates
    • M. Weinstein, Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys., 87 (1983), 567-576.
    • (1983) Comm. Math. Phys. , vol.87 , pp. 567-576
    • Weinstein, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.