On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in ℝD
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/BF02843163.pdf
Reference7 articles.
1. J. Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, I: Schrödinger equations, Geom. Funct. Anal.3 (1993), 107–156.
2. J. Bourgain,On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE, Internat. Math. Res. Notices (1996), 277–304.
3. G. Staffilani,Quadratic forms for a 2D semilinear Schrödinger equation. Duke Math. J.86 (1997), 79–108.
4. G. Staffilani,On the growth of high Sobolov norms of solutions for KdV and Schrödinger equations, Duke Math. J.86 (1997), 109–142.
5. J. Lin and W. Strauss,Decay and scattering of solutions of a nonlinear Schrödinger equation, J. Funct. Anal.30 (1978), 245–263.
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