In:
Journal of Inverse and Ill-posed Problems, Walter de Gruyter GmbH, Vol. 23, No. 5 ( 2015-10-1), p. 429-437
Abstract:
We consider the identification of nonlinear heat conduction laws in stationary and instationary heat transfer problems.
Only a single additional measurement of the temperature on a curve on the boundary is required to determine the unknown parameter function on the range of observed temperatures. We first present a new proof of Cannon's uniqueness result for the stationary case, which allows us to derive a corresponding stability estimate, and then extend our argument to instationary problems which are close to steady state.
Type of Medium:
Online Resource
ISSN:
0928-0219
,
1569-3945
DOI:
10.1515/jiip-2014-0030
Language:
English
Publisher:
Walter de Gruyter GmbH
Publication Date:
2015
detail.hit.zdb_id:
2041913-2
SSG:
11
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