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arXiv · 1404.2535

Identification of nonlinear heat conduction laws

Herbert Egger·Jan-Frederik Pietschmann·Matthias Schlottbom
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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, then derive a corresponding stability estimate, and finally extend our argument to instationary problems.

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Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom. 2014-04-09. Identification of nonlinear heat conduction laws. https://arxiv.org/abs/1404.2535

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