2 papers
math.AP2021
Growth of Sobolev Norms for 2d NLS with harmonic potential
F. Planchon, N. Tzvetkov, N. Visciglia
We prove polynomial upper bounds on the growth of solutions to 2d cubic NLS where the Laplacian is confined by the harmonic potential. Due to better bilinear effects our bounds imp…
math.AP2013
Invariant measures and long time behaviour for the Benjamin-Ono equation II
Nikolay Tzvetkov, Nicola Visciglia
As a continuation of our previous work on the subject, we prove new measure invariance results for the Benjamin-Ono equation. The measures are associated with conservation laws who…