In this note, we introduce a new approach to study overlapping domain decomposition methods for optimal control systems governed by partial differential equations. The model considered in our paper is systems governed by wave equations. Our technique could be used for several other equations as well.
@article{702948,
title = {On domain decomposition methods for optimal control problems},
booktitle = {Applications of Mathematics 2013},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2013},
pages = {207-214},
mrnumber = {MR3204445},
zbl = {1340.49029},
url = {http://dml.mathdoc.fr/item/702948}
}
Tran, Minh-Binh. On domain decomposition methods for optimal control problems, dans Applications of Mathematics 2013, GDML_Books, (2013), pp. 207-214. http://gdmltest.u-ga.fr/item/702948/