3 papers
math.AP2017
On the State Constrained Optimal Control of the Stefan Type Free Boundary Problems
Ugur G. Abdulla, Jonathan Goldfarb, Evan Cosgrove +1
We analyze the state constrained inverse Stefan type parabolic free boundary problem as an optimal control problem in the Sobolev-Besov spaces framework. Boundary heat flux, densit…
math.AP2017
Optimal Control of Coefficients in Parabolic Free Boundary Problems Modeling Laser Ablation
Ugur G. Abdulla, Jonathan Goldfarb
Inverse Stefan problem arising in modeling of laser ablation of biomedical tissues is analyzed, where information on the coefficients, heat flux on the fixed boundary, and density…
math.AP2016
Frechet Differentiability in Besov Spaces in the Optimal Control of Parabolic Free Boundary Problems
Ugur G. Abdulla, Jonathan Goldfarb
We consider the inverse Stefan type free boundary problem, where information on the boundary heat flux and density of the sources are missing and must be found along with the tempe…