Determination of small linear perturbations in the diffusion coefficient from partial dynamic boundary measurements

Autor:	Jbalia, Aymen, Khelifi, Abdessatar
Rok vydání:	2016
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics 35K05 35R30 80A23 35B40
Druh dokumentu:	Working Paper
Popis:	This work deals with an inverse boundary value problem arising from the equation of heat conduction. We reconstruct small perturbations of the (isotropic) heat conductivity distribution from partial (on accessible part of the boundary) dynamic boundary measurements and for finite interval in time. By constructing of appropriate test functions, using a control method, we provide a rigorous derivation of the inverse Fourier transform of the perturbations in the diffusion coefficient as the leading order of an appropriate averaging of the partial dynamic boundary measurements. Comment: 19 pages, Applicable Analysis, 2016
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1602.03059 Zobrazit plný text záznamu View this record from Arxiv