ANALYTICAL METHODS FOR MARKOV SEMIGROUPS

Analytical Methods for Markov Semigroups provides a comprehensive analysis on Markov semigroups both in spaces of bounded and continuous functions as well as in Lp spaces relevant to the invariant measure of the semigroup. The book covers Schauder'sestimates for nonhomogeneous elliptic and parabolic problems and for degenerate elliptic operators modeled on the Ornstein-Uhlenbeck operator, and includes in-depth analysis of Markov semigroups associated with elliptic operators that have unboundedcoefficients in unbounded domains. It also features nondegenerate and degenerate Ornstein-Uhlenbeck operators, as well as contains classical results of functional analysis and classical theory of partial differential equations.