Conditional stability estimation for an inverse boundary problem with non-smooth boundary in R3
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 4123-4138 |
| Journal / Publication | Transactions of the American Mathematical Society |
| Volume | 353 |
| Issue number | 10 |
| Publication status | Published - 2001 |
Link(s)
Abstract
In this paper, we investigate an inverse problem of determining a shape of a part of the boundary of a bounded domain in R3 by a solution to a Cauchy problem of the Laplace equation. Assuming that the unknown part is a Lipschitz continuous surface, we give a logarithmic conditional stability estimate in determining the part of boundary under reasonably a priori information of an unknown part. The keys are the complex extension and estimates for a harmonic measure. © 2001 American Mathematical Society.
Research Area(s)
- Conditional stability estimation, Determination of unknown boundary, Non-smooth boundary
Citation Format(s)
Conditional stability estimation for an inverse boundary problem with non-smooth boundary in R3. / Cheng, J.; Hon, Y. C.; Yamamoto, M.
In: Transactions of the American Mathematical Society, Vol. 353, No. 10, 2001, p. 4123-4138.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
