ABSTRACT

The so-called "Speed Method" has been developed in relation with the shape optimization governed by Partial Differential Equations ([8],[9],[10],[12]). In the strong version we considered the flow mapping Tt(V) of a smooth vector field

V € C°([Q,oo[,Ck(RN) n L°°(RN), RN) (V is smoothly globally defined over RN at all times t).