具有低正则性势的磁薛定谔算子的部分数据反问题

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED SIAM Journal on Mathematical Analysis Pub Date : 2024-07-01 DOI:10.1137/22m1530707

Salem Selim

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引用次数: 0

摘要

SIAM 数学分析期刊》，第 56 卷第 4 期，第 4594-4622 页，2024 年 8 月。摘要。我们为磁薛定谔算子的部分数据反边界问题建立了一个全局唯一性结果，该问题具有类[math]磁势和类[math]电势。我们的结果是 [D. Dos Santos Ferreira 等人，Comm. Math. Phys., 271 (2007), pp.因此，我们还证明了具有 [math] 类平流项的平流-扩散算子的部分数据反边界问题的全局唯一性。

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Partial Data Inverse Problems for Magnetic Schrödinger Operators with Potentials of Low Regularity

SIAM Journal on Mathematical Analysis, Volume 56, Issue 4, Page 4594-4622, August 2024.
Abstract. We establish a global uniqueness result for an inverse boundary problem with partial data for the magnetic Schrödinger operator with a magnetic potential of class [math], and an electric potential of class [math]. Our result is an extension, in terms of the regularity of the potentials, of the results [D. Dos Santos Ferreira et al., Comm. Math. Phys., 271 (2007), pp. 467–488] and [K. Knudsen and M. Salo, Inverse Probl. Imaging, 1 (2007), pp. 349–369]. As a consequence, we also show global uniqueness for a partial data inverse boundary problem for the advection-diffusion operator with the advection term of class [math].

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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.