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Volumn 2007, Issue , 2007, Pages

Improved interactionmorawetz inequalities for the cubic nonlinear schrödinger equation on R2

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EID: 68049128568     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1093/imrn/rnm090     Document Type: Article
Times cited : (41)

References (19)
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    • Bourgain, J.1
  • 3
    • 10844227674 scopus 로고    scopus 로고
    • edited by CLN 10: Providence, RI: American Mathematical Society
    • Cazenave, T. Semilinear Schröodinger Equations, edited by CLN 10: Providence, RI: American Mathematical Society, 2003.
    • (2003) Semilinear Schrödinger Equations
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  • 4
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    • Au Dela des Operateurs Pseudo-Differentiels
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    • (1978) Asterisque , vol.57
    • Coifman, R.1    Meyer, Y.2
  • 7
    • 0036771238 scopus 로고    scopus 로고
    • Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation
    • Colliander, J., M. Keel, G. Staffilani, H. Takaoka, and T. Tao. "Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation." Mathematical Research Letters 9 (2002): 659-682.
    • (2002) Mathematical Research Letters , vol.9 , pp. 659-682
    • Colliander, J.1    Keel, M.2    Staffilani, G.3    Takaoka, H.4    Tao, T.5
  • 9
    • 77955575522 scopus 로고    scopus 로고
    • 3
    • (forthcoming); Preprint: math.AP/0402129
    • Colliander, J., M. Keel, G. Staffilani, H. Takaoka, and T. Tao. "Global Well-Posedness and Scattering in the Energy Space for the Critical Nonlinear Schrödinger Equation in R3." Annals of Mathematics (forthcoming); Preprint (2004): math.AP/0402129.
    • (2004) Annals of Mathematics
    • Colliander, J.1    Keel, M.2    Staffilani, G.3    Takaoka, H.4    Tao, T.5
  • 13
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    • The global cauchy problem for the nonlinear Schröodinger equation
    • Ginibre, J., and G. Velo. "The Global Cauchy Problem for the Nonlinear Schr ̈oodinger Equation." H. Poincaŕe AnalyseNon Lińeaire 2 (1985): 309-327.
    • (1985) H. Poincaré Analyse Non Linéaire , vol.2 , pp. 309-327
    • Ginibre, J.1    Velo, G.2
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    • Decay and scattering of solutions of a nonlinear Schrödinger equation
    • Lin, J. E., and W. A. Strauss. "Decay and Scattering of Solutions of a Nonlinear Schrödinger Equation." Journal of Functional Analysis 30, no.2 (1978): 245-263.
    • (1978) Journal of Functional Analysis , vol.30 , Issue.2 , pp. 245-263
    • Lin, J.E.1    Strauss, W.A.2
  • 18
    • 77955581199 scopus 로고    scopus 로고
    • Minimal-mass blowup solutions of the mass-critical NLS
    • Tao, T., M. Visan, and X. Zhang. "Minimal-Mass Blowup Solutions of the Mass-Critical NLS." Forum Mathematicum (2006).
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    • Tao, T.1    Visan, M.2    Zhang, X.3
  • 19
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    • Global well-posedness and scattering for the mass-critical nonlinear schrödinger equations for radial data in high dimensions
    • Tao, T., M. Visan, and X. Zhang. "Global Well-Posedness and Scattering for the Mass-Critical Nonlinear Schrödinger Equations for Radial Data in High Dimensions." Duke Mathematical Journal (2006).
    • (2006) Duke Mathematical Journal
    • Tao, T.1    Visan, M.2    Zhang, X.3


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