Schrödinger 方程的椭圆型梯度估计
微分几何
2007-05-30 v1 偏微分方程分析
作者:
Qihua Ruan
摘要
本文讨论了非紧流形上含时 Schrödinger 方程解的椭圆型梯度估计。作为其应用,证明了 Schrödinger 方程的与维数无关的 Harnack 不等式和 Liouville 型定理。
引用
@article{arxiv.0705.4178,
title = {An Elliptic Type Gradient Estimate For the Schr\"{o}dinger Equation},
author = {Qihua Ruan},
journal= {arXiv preprint arXiv:0705.4178},
year = {2007}
}
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