Growth of Sobolev norms in the cubic defocusing nonlinear Schr\"odinger equation

By Marcel Guardia, Vadim Kaloshin. 2012

98 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/16e19cb440285fd7363cd4c008c59c79c5378090

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1. Benoit Pausader
2. Nicola Visciglia
3. Nikolay Tzvetkov
4. Qing Guo
5. Nicolas Burq
6. Tadahiro Oh
7. Terence Tao
8. Jonas Lührmann

Citations in the corpus

• MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS (2013, methodology): “We give a self-contained constructive proof of this result that follows from simple adaptations of the more recent work [45] in order to obtain an explicit global solution with a lower bound on the growth rate of its Sobolev norms.”