Uniqueness and stability of an inverse kernel problem for type III thermoelasticity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:402

Article

Wu, Bin¹  Yu, Jun²  Wang, Zewen³ 

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

[2] Univ Vermont, Dept Math & Stat, Burlington, VT 05401 USA

[3] E China Inst Technol, Sch Sci, Dept Math, Nanchang 330013, Peoples R China

关键词: Inverse problem;    Type III thermoelasticity;    Carleman estimate;    Integro-differential system;    Holder stability;   

DOI  :  10.1016/j.jmaa.2013.01.023

来源: Elsevier

【 摘 要 】

In this paper, we establish a global Carleman estimate for a thermoelastic system of type III. Based on this estimate, we furthermore study an inverse problem of determining a spatially varying thermal kernel function. We derive Holder stability for the coefficient inverse problem only by displacement measurements over a given subdomain omega along a sufficiently large time interval and temperature measurements at time t(0) over whole domain Omega. The uniqueness for such an inverse problem is yielded as a direct result. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free