Growth of Sobolev norms for the quintic NLS on<i>T</i><sup>2</sup>

Type: Article

Publication Date: 2015-06-21

Citations: 46

DOI: https://doi.org/10.2140/apde.2015.8.883

Abstract

We study the quintic Non Linear Schr\"odinger equation on a two dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to reduce to a sufficiently simple toy model, similar in many ways to the one used in the case of the cubic NLS. This requires an accurate combinatorial analysis.

Locations

  • Analysis & PDE - View - PDF
  • arXiv (Cornell University) - View - PDF
  • Project Euclid (Cornell University) - View - PDF
  • Iris (Roma Tre University) - View - PDF
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