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.
Funding source: DFG
Award Identifier / Grant number: IRTG 1529
Funding source: DFG
Award Identifier / Grant number: GSC 233
Funding source: DFG
Award Identifier / Grant number: TRR 154
Funding source: DFG
Award Identifier / Grant number: 1073/1-1
Funding source: Daimler and Benz Stiftung
Award Identifier / Grant number: 32-09/12
Funding source: ERC
Award Identifier / Grant number: EU FP 7 – ERC Consolidator Grant 615216 LifeInverse
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