Reconstruction of penetrable inclusions in elastic waves by boundary measurements

Details Reconstruction of penetrable inclusions in elastic waves by boundary measurements Reconstruction of penetrable inclusions in elastic waves by boundary measurements

2011-02-12

arxiv.org/abs/1102.2487v3

Mathematics

Analysis of PDEs

29 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Reconstruction of penetrable inclusions in elastic waves by boundary measurements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Reconstruction of penetrable inclusions in elastic waves by boundary measurements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reconstruction of penetrable inclusions in elastic waves by boundary measurements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84754