Identification of nonlinear heat conduction laws
Analysis of PDEs
2014-04-10 v1
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.
Keywords
Cite
@article{arxiv.1404.2535,
title = {Identification of nonlinear heat conduction laws},
author = {Herbert Egger and Jan-Frederik Pietschmann and Matthias Schlottbom},
journal= {arXiv preprint arXiv:1404.2535},
year = {2014}
}