Functional Analytic Methods for Evolution Equations

Giuseppe Da Prato, Peer C. Kunstmann, Lutz Weis, Irena Lasiecka, Alessandra Lunardi, Roland Schnaubelt (auth.), Mimmo Iannelli, Rainer Nagel, Susanna Piazzera (eds.)3540230300, 9783540230304

This book consist of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.

Table of contents :
An Introduction to Markov Semigroups….Pages 1-63
Maximal L p -regularity for Parabolic Equations, Fourier Multiplier Theorems and $H^infty$ -functional Calculus….Pages 65-311
Optimal Control Problems and Riccati Equations for Systems with Unbounded Controls and Partially Analytic Generators-Applications to Boundary and Point Control Problems….Pages 313-369
An Introduction to Parabolic Moving Boundary Problems….Pages 371-399
Asymptotic Behaviour of Parabolic Nonautonomous Evolution Equations….Pages 401-472