Functional Analytic Methods for Evolution Equations / Edition 1

by Giuseppe Da Prato, Mimmo Iannelli, Peer Christian Kunstmann, Rainer Nagel, Irena Lasiecka

Overview

This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal Lsubp-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.

Product Details

ISBN-13:	9783540230304
Publisher:	Springer Berlin Heidelberg
Publication date:	12/03/2004
Series:	Lecture Notes in Mathematics , #1855
Edition description:	2004
Pages:	474
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Preface.- Giuseppe Da Prato: An Introduction to Markov Semigroups.- Peer C. Kunstmann and Lutz Weis: Maximal$L_p§-regularity for Parabolic Equations, Fourier Multiplier Theorems and $Hsub\infty $-functional Calculus.- Irena Lasiecka: Optimal Control Problems and Riccati Equations for Systems with Unbounded Controls and Partially Analytic Generators-Applications to Boundary and Point Control Problems.- Alessandra Lunardi: An Introduction to Parabolic Moving Boundary Problems.- Roland Schnaubelt: Asymptotic Behaviour of Parabolic Nonautonomous Evolution Equations.