Special Session 30: Optimal Control of Finite and Infinite Dimensional Dynamic Systems and their Applications

Controllability in dynamics of diffusion processes without compactness

Valentina Taddei
University of Modena and Reggio Emilia
Italy
Co-Author(s):    Valentina Taddei
Abstract:
The talk deals with the controllability of semilinear evolution equations in Banach spaces. The final configuration is always achieved with a control of minimum norm. The results make use of topological techniques. which do not require the compactness of the evolution operator generated by the linear part nor any compactness condition on the multivalued nonlinearity The discussion is completed with some applications to dynamics of diffusion processes.