Functional Analytic Methods for Evolution Equations

• Main Authors: Da Prato, Giuseppe (Author, http://id.loc.gov/vocabulary/relators/aut), Kunstmann, Peer Christian (http://id.loc.gov/vocabulary/relators/aut), Lasiecka, Irena (http://id.loc.gov/vocabulary/relators/aut), Lunardi, Alessandra (http://id.loc.gov/vocabulary/relators/aut), Schnaubelt, Roland (http://id.loc.gov/vocabulary/relators/aut), Weis, Lutz (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Iannelli, Mimmo (Editor, http://id.loc.gov/vocabulary/relators/edt), Nagel, Rainer (Editor, http://id.loc.gov/vocabulary/relators/edt), Piazzera, Susanna (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1855
• Subjects: Differential equations.; Partial differential equations.; Fourier analysis.; Operator theory.; Calculus of variations.; Probabilities.; Ordinary Differential Equations.; Partial Differential Equations.; Fourier Analysis.; Operator Theory.; Calculus of Variations and Optimal Control; Optimization.; Probability Theory and Stochastic Processes.

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...

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 $H^\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.