高固定频率的各向异性卡尔德龙问题

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-06-04 DOI:10.1137/23m1579029

Gunther Uhlmann, Yiran Wang

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引用次数: 0

摘要

SIAM 数学分析期刊》，第 56 卷第 3 期，第 4084-4103 页，2024 年 6 月。摘要。我们考虑在具有非正截面曲率和光滑严格凸边界的简单连接紧凑黎曼流形上的固定高频薛定谔算子。我们证明了 Dirichlet 到 Neumann 映射唯一地决定了势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The Anisotropic Calderón Problem for High Fixed Frequency

SIAM Journal on Mathematical Analysis, Volume 56, Issue 3, Page 4084-4103, June 2024.
Abstract. We consider Schrödinger operators at a fixed high frequency on simply connected compact Riemannian manifolds with nonpositive sectional curvatures and smooth strictly convex boundaries. We prove that the Dirichlet-to-Neumann map uniquely determines the potential.

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.