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Determination of the Robin coefficient in a nonlinear boundary condition for a steady-state problem

✍ Scribed by Marián Slodička; Daniel Lesnic

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
130 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, a constant heat transfer coefficient present in a nonlinear Robin‐type boundary condition associated with an elliptic equation is reconstructed uniquely from a single boundary energy measurement. Two types of such boundary energy measurement are considered, and solvability theorems for the solution of the resulting nonlinear inverse problems are provided. Further, one‐dimensional numerical results are presented and discussed. Copyright © 2008 John Wiley & Sons, Ltd.

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