一类含时变势 Schrödinger 方程的整体基本解
偏微分方程分析
2007-05-23 v1 谱理论
摘要
构造了含长程型时变势的 Schrödinger 方程的基本解。当以符号类的自然半范数度量时,该解表示为符号关于时间一致有界的 Fourier 积分算子。
引用
@article{arxiv.math/0607101,
title = {Fundamental solution global in time for a class of Schr\"odinger equations with time-dependent potentials},
author = {Hitoshi Kitada},
journal= {arXiv preprint arXiv:math/0607101},
year = {2007}
}
备注
To appear in Communications in Mathematical Analysis, Volume 1 No. 2 (2006)