High frequency stability estimates for the linearized inverse Schrödinger potential problem with constant attenuation on some bounded domains

被引：0

作者：

Kumar, T. Ajith ^{[1
]}

机构：

[1] OCC Homi Bhabha Natl Inst, Natl Inst Sci Educ & Res Bhubaneswar, Sch Math Sci, Khurja 752050, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2025年 / 135卷 / 01期

关键词：

Inverse problems; stability estimates; Schr & ouml; dinger equation; increasing stability; INCREASING STABILITY; SCHRODINGER-EQUATION; CONDUCTIVITY; UNIQUENESS;

D O I：

10.1007/s12044-025-00812-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the high frequency stability estimates for the recovery of the potential function in the linearized inverse Schr & ouml;dinger problem with constant attenuation from partial data. We assume that part of the boundary is inaccessible and flat. Our estimates suggest an improvement of stability from logarithmic to Lipschitz as the frequency increases.

引用

页数：17

共 9 条

[1] High-frequency stability estimates for the linearized inverse boundary value problem for the biharmonic operator with attenuation on some bounded domains
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[8] On the Lipschitz stability of inverse nodal problem for p-Laplacian Schrödinger equation with energy dependent potential
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[9] STABILITY OF DETERMINING THE POTENTIAL FROM PARTIAL BOUNDARY DATA IN A SCHRÖDINGER EQUATION IN THE HIGH FREQUENCY LIMIT
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