RT Book, Section
T1 On the approximate controllability for some explosive parabolic problems
A1 Díaz Díaz, Jesús Ildefonso
A1 Lions, J.L.
A2 Hoffmann, K.H.
A2 Leugering, G.
A2 Troltzsch, F.
AB We consider in this paper 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 for semilinear second order parabolic equations as well as for a non local nonlinear problem. We also give some results proving that "the more the system will blow up" the "cheaper" it will be the control.
PB Birkhäuser Verlag AG
SN 3-7643-6151-4
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/60555
UL https://hdl.handle.net/20.500.14352/60555
LA eng
NO International Conference on Optimal Control of Partial Differential Equations.CHEMNITZ, GERMANY . APR 20-25, 1998
DS Docta Complutense
RD 6 abr 2025