Identification of nonlinear heat conduction laws
  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. 
Herbert Egger and Jan-Frederik Pietschmann and Matthias Schlottbom
math.AP