Conditional Stability for an Inverse Neumann Boundary Problem
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) | 49-62 |
| Journal / Publication | Applicable Analysis |
| Volume | 83 |
| Issue number | 1 |
| Publication status | Published - Jan 2004 |
Link(s)
Abstract
In this article, we consider an inverse problem of determining an unknown boundary in (Formula presented.) where the zero Neumann condition is imposed. We prove the uniqueness and a stability estimate under some a priori assumptions on unknown boundaries and the solutions of the problems. The proofs are based on the complex extension method and an estimation of harmonic measure. One of the advantages of our method is that we need not pose the boundary condition on the whole boundary, which is quite practical.
Research Area(s)
- Determining unknown boundary, Neumann boundary condition, Conditional stability estimate, 1991 Mathematics Subject Classifications: 35R30, 35J15
Citation Format(s)
Conditional Stability for an Inverse Neumann Boundary Problem. / CHENG, J.; HON, Y. C.; YAMAMOTO, M.
In: Applicable Analysis, Vol. 83, No. 1, 01.2004, p. 49-62.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
