Recovering a potential from Cauchy data in the two-dimensional case

A. L. Bukhgeim

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Recovering a potential from Cauchy data in the two-dimensional case

机译：在二维情况下从柯西数据中恢复潜力

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摘要

In this paper we prove that the Cauchy data for the Schr?dinger equation in the two-dimensional case determines a potential from Lp (for p > 2) uniquely. We also obtain a linear inversion formula for smooth potentials.

机译：在本文中，我们证明了二维情况下Schr？dinger方程的柯西数据唯一地确定了Lp的电势（对于p> 2）。我们还获得了平滑势的线性反演公式。

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来源
《Journal of inverse and ill-posed problems》 |2008年第1期|共15页
作者
A. L. Bukhgeim;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Riemann–Hilbert problem; potential; Schr?dinger equation; inversion formula; Cauchy data;

机译：黎曼–希尔伯特问题;势;薛定er方程;反演公式;敏感数据;

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Recovering a potential from Cauchy data in the two-dimensional case

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