RT Journal Article
T1 Sur la contrôlabilité approchée de problèmes paraboliques avec phénomènes d'explosion
A1 Díaz Díaz, Jesús Ildefonso
A1 Lions, J.L.
AB We consider in this Note distributed systems governed by parabolic evolution equations which can blow up in finite time and which are controlled by initial conditions. We study here the following question: can one choose the initial condition in such a way that the solution does not blow up before a given time T and which is, at time T, as close as we wish from a given state ? Some general results along these lines are presented here. The main elements of the proof are given on an example, namely the equation partial derivative y/partial derivative t - Delta y = lambda y(3) = 0, lambda > 0; more general cases being indicated in final remarks.
PB Elsevier
SN 0764-4442
YR 1998
FD 1998-07
LK https://hdl.handle.net/20.500.14352/57382
UL https://hdl.handle.net/20.500.14352/57382
LA fra
DS Docta Complutense
RD 7 may 2024