某些演化方程解的 Sobolev 范数与傅里叶侧局域化
偏微分方程分析
2014-03-07 v2 数学物理
math.MP
摘要
在一维环面上研究了具有粗糙时间依赖势的某些演化方程。我们表明，对于耦合常数的通用值，解具有更高的正则性。研究了大时间渐近行为和傅里叶侧的局域化。
引用
@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}
}
备注
Minor change in section 4: the Fourier projection in formula (25) is added and another example of the symbol is given