We study in this note the control of nonlinear diffusion equation and of parabolic variational inequalities by means of an approach which has been proved useful in the analysis of the control of nonlinear ordinary differential equations ([3]) and linear partial differential equations ([2] and [3]). It is based on an idea of Young [7], consisting in the replacement of classical variational problems by problems in measure spaces; its extension to optimal control problems, and the realization that one is dealing with fully linear problems -even if the original problems were nonlinear in the usual sense- is due to us [3]; see also the review paper [4] for a full bibliography as well as a historical analysis of these matters.
@article{urn:eudml:doc:39958,
title = {The global control of nonlinear partial differential equations and variational inequalities.},
journal = {Extracta Mathematicae},
volume = {7},
year = {1992},
pages = {25-30},
mrnumber = {MR1203436},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39958}
}
Rubio, J. E. The global control of nonlinear partial differential equations and variational inequalities.. Extracta Mathematicae, Tome 7 (1992) pp. 25-30. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39958/