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Volumn 14, Issue 10, 1990, Pages 807-836

The cauchy problem for the critical nonlinear Schrödinger equation in Hs

Author keywords

asymptotic behavior; Besov spaces; blowup; global existence; Nonlinear Schr dinger equation

Indexed keywords


EID: 23244446904     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(90)90023-A     Document Type: Article
Times cited : (686)

References (36)
  • 12
    • 0000890194 scopus 로고
    • The global Cauchy problem for the nonlinear Klein–Gordon equation
    • (1985) Math. Z. , vol.189 , pp. 487-505
    • Ginibre1    Velo2
  • 14
    • 0000911759 scopus 로고
    • m with applications to weak solutions
    • (1984) Math. Z. , vol.187 , pp. 471-480
    • Kato1
  • 17
    • 0042062021 scopus 로고
    • Limit of the solution of the nonlinear Schödinger equation at the blow-up time
    • (1989) J. funct. Analysis , vol.84 , pp. 201-214
    • Merle1
  • 21
    • 0039965581 scopus 로고
    • Regularité de la composition de deux fonctions et applications
    • (1979) Boll. Un. mat. Ital. , vol.16 B , Issue.5 , pp. 501-522
    • Simon1
  • 22
    • 84873246015 scopus 로고
    • Study of Navier–Stokes equations by the methods of the theory of parabolic equations in Banach spaces
    • (1964) Soviet Math. Dokl. , vol.5 , pp. 720-723
    • Sobolevskii1
  • 24
    • 0006806721 scopus 로고
    • Nonlinear invariant wave equations
    • G. Velo, A.S. Wightman, Invariant Wave Equations, Springer, New York
    • (1978) Lecture Notes in Physics , vol.73 , pp. 197-249
    • Strauss1
  • 26
  • 27
    • 84918600227 scopus 로고    scopus 로고
    • TSUTSUMI Y., Lower estimates of blow-up solutions for nonlinear Schrödinger equations, preprint.
  • 28
    • 0037867524 scopus 로고
    • Regularity questions for the Navier–Stokes equations
    • R. Rautman, Approximation Methods for Navier–Stokes Problems, Springer, New York
    • (1980) Lecture Notes in Mathematics , vol.771 , pp. 538-542
    • von Wahl1
  • 30
    • 0011538870 scopus 로고
    • Global solutions to evolutions equations of parabolic type
    • A. Favini, E. Obrecht, Differential Equations in Banach Spaces, Springer, New York
    • (1986) Lecture Notes in Mathematics , vol.1223 , pp. 254-266
    • von Wahl1
  • 34
    • 51249183619 scopus 로고
    • Existence and non-existence of global solutions for a semilinear heat equation
    • (1981) Israel J. Math. , vol.38 , pp. 29-40
    • Weissler1
  • 36


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.