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arXiv · 0705.4178

An Elliptic Type Gradient Estimate For the Schrödinger Equation

Qihua Ruan
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Abstract

In this paper, the author discusses the elliptic type gradient estimate for the solution of the time-dependent Schrödinger equations on noncompact manifolds. As its application, the dimension-free Harnack inequality and the Liouville type theorem for the Schrödinger equation are proved.

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Qihua Ruan. 2007-05-29. An Elliptic Type Gradient Estimate For the Schrödinger Equation. https://arxiv.org/abs/0705.4178

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