Local well-posedness for 2-D Schrödinger equation on irrational tori and bounds on Sobolev norms

Author:

Demirbas Seckin,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine,Applied Mathematics,Analysis

Reference18 articles.

1. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations,;J. Bourgain;\emph{Geometric and Functional Analysis},1993

2. On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE,;J. Bourgain;\emph{International Mathematics Research Notices},1996

3. On Strichartz's inequalities and the nonlinear Schrödinger equation on irrational tori,;J. Bourgain;\emph{Mathematical Aspects of Nonlinear Dispersive Equations. Ann. of Math. Stud.},2007

4. Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds,;N. Burq;\emph{American Journal of Mathematics},2004

5. Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces,;N. Burq;\emph{Inventiones mathematicae},2005

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