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A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative,10.1137/S0036141001394541,J. Colliander,M. Keel,G. Staffilani,H. Tak

A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative   (Citations: 40)
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Published in 2002.
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    • ...Strichartz estimate, see, for example, [6, 13, 28, 43],...

    Dirk Hundertmarket al. On non-local variational problems with lack of compactness related to ...

    • ...Proof of Lemma 3. This result is known to the experts, see, for example [8,28]...
    • ...for some constant depending on d, see, for example, [15,8]...

    Dirk Hundertmarket al. Decay Estimates and Smoothness for Solutions of the Dispersion Managed...

    • ...Existence of global solutions to (1.1)-(1.2) corresponding to initial data below the energy treshold was first obtained in [6], [7] by using the method of “almost conservation laws”, or “I-method” (for a detailed description of this method see section 3 below)...
    • ...[1]) along with Strichartz estimates, to demonstrate the existence of global rough solutions (see [6, 7] and [21])...
    • ...4 We use the second modified energy approach as in [7] and [21]...

    Daniela De Silvaet al. Global Well-Posedness and Polynomial Bounds for the Defocusing L Criti...

    • ...We have the following basic cancellation bound (cf. [6]):...

    Michael Christet al. A priori bounds and weak solutions for the nonlinear Schrödinger equat...

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