{"product_id":"9788876423369","title":"Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures","description":"\u003cp\u003eThe book is devoted to study the relationships between Shastic Partial Differential Equations and the associated Kolmogorov operator in spaces of continuous functions. \u003c\/p\u003e\u003cp\u003eIn 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.\u003c\/p\u003e\u003cp\u003eIn the second part, concrete models of Markov semigroups deriving from Shastic 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.\u003c\/p\u003e\u003cp\u003eThe 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.\u003cbr\u003e\u003c\/p\u003e","brand":"Scuola Normale Superiore","offers":[{"title":"Default Title","offer_id":47056682483952,"sku":"9788876423369","price":24.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9788876423369_p0.jpg?v=1763779697","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9788876423369","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}