The Sobolev norms and localization on the Fourier side for the solutions to some evolution equations
Analysis of PDEs
2014-03-07 v2 Mathematical Physics
math.MP
Abstract
Some evolution equations with rough time-dependent potential are studied in the case of one-dimensional torus. We show that the solution has higher regularity for the generic values of the coupling constant. The asymptotics for large time and the localization on the Fourier side are studied.
Keywords
Cite
@article{arxiv.1306.3178,
title = {The Sobolev norms and localization on the Fourier side for the solutions to some evolution equations},
author = {Sergey A. Denisov},
journal= {arXiv preprint arXiv:1306.3178},
year = {2014}
}
Comments
Minor change in section 4: the Fourier projection in formula (25) is added and another example of the symbol is given