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Beschreibung
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 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.
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 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.
Über den Autor
GIUSEPPE DA PRATO was born in La Spezia in 1936. Having graduated in Physics in 1960 from the University of Rome, he became full professor of Mathematics in 1968 and taught in Rome and in Trento. Since 1979 he has been Professor of Mathematical Analysis at the Scuola Normale Superiore di Pisa.

The scientific activity of Giuseppe Da Prato concerns infinite-dimensional analysis and partial differential stochastic equations (existence, uniqueness, invariant measures, ergodicity), with applications to optimal stochastic control.

Giuseppe Da Prato is the author of 5 other books, some co-authored with other international specialists, on control theory, stochastic differential equations and infinite dimensional Kolmogorov equations, and of more than 250 papers in international scientific journals.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: cdlxxxiv
474 S.
ISBN-13: 9783540230304
ISBN-10: 3540230300
Sprache: Englisch
Herstellernummer: 11319825
Einband: Kartoniert / Broschiert
Autor: Da Prato, Giuseppe
Kunstmann, Peer Christian
Lasiecka, Irena
Lunardi, Alessandra
Schnaubelt, Roland
Weis, Lutz
Redaktion: Iannelli, Mimmo
Nagel, Rainer
Piazzera, Susanna
Herausgeber: Mimmo Iannelli/Rainer Nagel/Susanna Piazzera
Hersteller: Springer
Springer-Verlag GmbH
Lecture Notes in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 27 mm
Von/Mit: Giuseppe Da Prato (u. a.)
Erscheinungsdatum: 22.09.2004
Gewicht: 0,727 kg
Artikel-ID: 102439123