Identification of a Quasilinear Parabolic Equation from Final Data †

@inproceedings{Fernndez2001IdentificationOA,
title={Identification of a Quasilinear Parabolic Equation from Final Data †},
author={Luis Antonio Fern{\'a}ndez and Cecilia Pola},
year={2001}
}

+ c(y) = u in Ω× (0, T ), assuming that the solution of an associated boundary value problem is known at the terminal time, y(x, T ), over a (probably small) subset of Ω, for each source term u. Our work can be divided into two parts. Firstly, the uniqueness of A,~b and c is proved under appropriate assumptions. Secondly, we consider a finite-dimensional optimization problem that allows for the reconstruction of the nonlinearities. Some numerical results in the one-dimensional case are… CONTINUE READING