Díaz Díaz, Jesús IldefonsoLions, J.L.Hoffmann, K.H.Leugering, G.Troltzsch, F.2023-06-202023-06-2019993-7643-6151-4https://hdl.handle.net/20.500.14352/60555International Conference on Optimal Control of Partial Differential Equations.CHEMNITZ, GERMANY . APR 20-25, 1998We 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.engbook parthttp://books.google.es/books?hl=es&lr=&id=GzApz9i0T9MC&oi=fnd&pg=PA115&ots=sq6YGrNEcJ&sig=d1UCD0OJQIC0sywJ3s1dm4NRZs4#v=onepage&q&f=falseopen access514.7Geometría diferencial1204.04 Geometría Diferencial