Advanced Courses in Mathematics - CRM Barcelona

Da Prato, Giuseppe

This textbook gives an introduction to stochastic partial differential equations such as reaction-diffusion, Burgers and 2D Navier-Stokes equations, perturbed by noise. Several properties of corresponding transition semigroups are studied, such as Feller and strong Feller properties, irreducibility, existence and uniqueness of invariantg measures. Moreover, the transition semigroups are interpreted as generalized solutions of Kologorov equations.
The prerequisites are basic probability (including finite dimemsional stochastic differential equations), basic functional analysis and some elements of the theory of partial differential equations.

Details

Published by: Birkhäuser

Publication Date: 2004-12-15

Format: Paperback

ISBN-13: 9783764372163

DOI: 10.1007/978-3-0348-7909-5

Dimensions: 235cm x155cm

Pages: 182