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Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures by Luigi Manca
Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures by Luigi Manca
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Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures

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Description

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.
Release date NZ
December 29th, 2008
Author
Audience
  • Professional & Vocational
Illustrations
130 p.
Pages
130
Dimensions
150x240x13
ISBN-13
9788876423369
Product ID
2733410

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