M. J. Oliveira
Methods Funct. Anal. Topology 18 (2012), no. 1, 55-67
We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.
Methods Funct. Anal. Topology 8 (2002), no. 4, 15-48