Functional Analytic Methods for Evolution Equations [electronic resource] / by Giuseppe Da Prato, Peer C. Kunstmann, Lutz Weis, Irena Lasiecka, Alessandra Lunardi, Roland Schnaubelt ; edited by Mimmo Iannelli, Rainer Nagel, Susanna Piazzera.

By: Prato, Giuseppe Da [author.]Contributor(s): Kunstmann, Peer C [author.] | Weis, Lutz [author.] | Lasiecka, Irena [author.] | Lunardi, Alessandra [author.] | Schnaubelt, Roland [author.] | Iannelli, Mimmo [editor.] | Nagel, Rainer [editor.] | Piazzera, Susanna [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1855Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004Description: CDLXXXIV, 474 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540446538Subject(s): Mathematics | Fourier analysis | Operator theory | Differential Equations | Differential equations, partial | Mathematical optimization | Distribution (Probability theory) | Mathematics | Ordinary Differential Equations | Partial Differential Equations | Fourier Analysis | Operator Theory | Calculus of Variations and Optimal Control; Optimization | Probability Theory and Stochastic ProcessesAdditional physical formats: Printed edition:: No titleDDC classification: 515.352 LOC classification: QA372Online resources: Click here to access online
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 $-functional Calculus -- Irena Lasiecka: Optimal Control Problems and Riccati Equations for Systems with Unbounded Controls and Partially Analytic Generators-Applications to Boundary and Point Control Problems -- Alessandra Lunardi: An Introduction to Parabolic Moving Boundary Problems -- Roland Schnaubelt: Asymptotic Behaviour of Parabolic Nonautonomous Evolution Equations.
In: Springer eBooksSummary: This book consist of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.
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Preface -- Giuseppe Da Prato: An Introduction to Markov Semigroups -- Peer C. Kunstmann and Lutz Weis: Maximal$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.

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.

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