The Buckling Operator: Inverse Boundary Value Problem

被引：0

作者：

Ma, Yanjun ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

MATHEMATICS | 2023年 / 11卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Dirichlet-to-Neumann map; buckling operator; uniqueness; 1ST-ORDER PERTURBATION; POLYHARMONIC OPERATOR; CONDUCTIVITY PROBLEM; BIHARMONIC OPERATOR; UNIQUENESS;

D O I：

10.3390/math11020268

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a zeroth-order perturbation q(x) of the buckling operator delta(2)-kappa delta, which can be uniquely determined by measuring the Dirichlet-to-Neumann data on the boundary. We extend the conclusion of the biharmonic operator to the buckling operator, but the Dirichlet-to-Neumann map given in this study is more meaningful and general.

引用

页数：11

共 34 条

[1] DETERMINING ROUGH FIRST ORDER PERTURBATIONS OF THE POLYHARMONIC OPERATOR [J].

Assylbekov, Yernat ;

Iyer, Karthik .

INVERSE PROBLEMS AND IMAGING, 2019, 13 (05) :1045-1066

[2] Determining the first order perturbation of a polyharmonic operator on admissible manifolds [J].

Assylbekov, Yernat M. ;

Yang, Yang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (01) :590-614

[3] Inverse problems for the perturbed polyharmonic operator with coefficients in Sobolev spaces with non-positive order [J].

Assylbekov, Yernat M. .

INVERSE PROBLEMS, 2016, 32 (10)

[4] Calderon's inverse conductivity problem in the plane [J].

Astala, Kari ;

Paivarinta, Lassi .

ANNALS OF MATHEMATICS, 2006, 163 (01) :265-299

[5] INVERSE PROBLEMS FOR THE FRACTIONAL-LAPLACIAN WITH LOWER ORDER NON-LOCAL PERTURBATIONS [J].

Bhattacharyya, S. ;

Ghosh, T. ;

Uhlmann, G. .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (05) :3053-3075

[6] AN INVERSE PROBLEM FOR THE MAGNETIC SCHRODINGER OPERATOR ON RIEMANNIAN MANIFOLDS FROM PARTIAL BOUNDARY DATA [J].

Bhattacharyya, Sombuddha .

INVERSE PROBLEMS AND IMAGING, 2018, 12 (03) :801-830

[7] Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions [J].

Brown, RM ;

Uhlmann, GA .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1997, 22 (5-6) :1009-1027

[8] An isoperimetric inequality for fundamental tones of free plates with nonzero Poisson's ratio [J].

Chasman, L. M. .

APPLICABLE ANALYSIS, 2016, 95 (08) :1700-1735

[9] An Isoperimetric Inequality for Fundamental Tones of Free Plates [J].

Chasman, L. M. .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 303 (02) :421-449

[10] Inverse problem of electro-seismic conversion [J].

Chen, Jie ;

Yang, Yang .

INVERSE PROBLEMS, 2013, 29 (11)

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