measuring tape
kolmogorov operators in spaces of continuous functions and equations for measures
p the book is devoted to study the relationships between stochastic partial differential equations and the associated kolmogorov operator in spaces of continuous functions . p in the first part the theory of a weak convergence of functions is developed in order to give general results about markov semigroups and their generator . p in the second part concrete models of markov semigroups deriving from stochastic pdes are studied . in particular ornstein uhlenbeck reaction diffusion and burgers equations have been considered . for each case the transition semigroup and its infinitesimal generator have been investigated in a suitable space of continuous functions . p the main results show that the set of exponential functions provides a core for the kolmogorov operator . as a consequence the uniqueness of the kolmogorov equation for measures has been proved .