Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation
We consider the cubic defocusing nonlinear Schrödinger equation on the two dimensional torus. We exhibit smooth solutions for which the support of the conserved energy moves to higher Fourier modes. This behavior is quantified by the growth of higher Sobolev norms: given any δ[much less-than]1,K [mu...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer-Verlag
2012
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| Online Access: | http://hdl.handle.net/1721.1/71665 https://orcid.org/0000-0002-8220-4466 |