Finkelshtein, Dmitri L.Kondratiev, Yuri G.Oliveira, Maria João2013-07-222013-07-222012Finkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João - Glauber dynamics in the continuum via generating functionals evolution. "Complex Analysis and Operator Theory" [Em linha]. ISSN 1661-8254 (Print) 1661-8262 (Online). Vol. 6, nº 4 (2012), p. 923-9451661-82541661-8262http://hdl.handle.net/10400.2/2593We construct the time evolution for states of Glauber 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, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.engGenerating functionalGlauber dynamicsInteracting particle systemContinuous systemOvsjannikov’s methodVlasov scalingjournal article