ISBN: 9788876423369 - kolmogorov operators in spaces of continuous functions and equations for measures (publications of the scuola normale superiore, 10, band 10) (2 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware - The book is devoted to study the relationships between Stochastic Partial Differential Equations and the associated Kolmogorov operator in spaces of continuous functions. 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.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.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.…

Kartoniert / Broschiert. Zustand: New. Presents a novel perspective of Markov semigroups, resulting in a better understanding of the relationships between Stochastic PDEs and Kolmogorov operatorsSpecial attention is paid to well-known models as the Ornstein-Uhlenbeck semigroup, the rea.