Reconstruction of penetrable inclusions in elastic waves by boundary measurements
Resource
Journal of Differential Equations, 252(2), 1494-1520
Journal
Journal of Differential Equations
Pages
1494-1520
Date Issued
2012
Date
2012
Author(s)
Kuan, Rulin
Abstract
We use Ikehata's enclosure method to reconstruct penetrable unknown inclusions in a plane elastic body in time-harmonic waves. Complex geometrical optics solutions with complex polynomial phases are adopted as the probing utility. In a situation similar to ours, due to the presence of a zeroth order term in the equation, some technical assumptions need to be assumed in early researches. In a recent work of Sini and Yoshida, they succeeded in abandoning these assumptions by using a different idea to obtain a crucial estimate. In particular the boundaries of the inclusions need only to be Lipschitz. In this work we apply the same idea to our model. It's interesting that, with more careful treatment, we find the boundaries of the inclusions can in fact be assumed to be only continuous. © 2011 Elsevier Inc.
SDGs
Type
journal article
File(s)![Thumbnail Image]()
Loading...
Name
04.pdf
Size
23.45 KB
Format
Adobe PDF
Checksum
(MD5):7ae07a430366d0efcdd5abe7a605cb58