✦ LIBER ✦

A non-linear parabolic control problem with non-homogeneous boundary condition—convergence of Galerkin approximation

✍ Scribed by Anna Dębińska-Nagórska; Andrzej Just; Zdzisław Stempień

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 134 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19971110)20:16<1365::aid-mma920>3.0.co;2-o

No coin nor oath required. For personal study only.

✦ Synopsis

The paper is concerned with optimal control problem for a non-linear parabolic equation with nonhomogenous boundary condition and quadratic cost. The control is acting in a nonlinear equation. We derive some results on the existence of optimal controls. Then we treat optimal control problem by Galerkin method and we prove the convergence of optimal values for approximated control problems to the one for the original problem. Finally, we apply the results to give a simple example.