Functional Analytic Methods for Evolution Equations
Prato, Giuseppe Da.
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. - CDLXXXIV, 474 p. online resource. - Lecture Notes in Mathematics, 1855 0075-8434 ; . - Lecture Notes in Mathematics, 1855 .
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 $-functional Calculus -- Irena Lasiecka: Optimal Control Problems and Riccati Equations for Systems with Unbounded Controls and Partially Analytic Generators-Applications to Boundary and Point Control Problems -- Alessandra Lunardi: An Introduction to Parabolic Moving Boundary Problems -- Roland Schnaubelt: Asymptotic Behaviour of Parabolic Nonautonomous Evolution Equations.
This book consist of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.
9783540446538
10.1007/b100449 doi
Differential Equations.
Differential equations, partial.
Fourier analysis.
Operator theory.
Mathematical optimization.
Distribution (Probability theory.
Ordinary Differential Equations.
Partial Differential Equations.
Fourier Analysis.
Operator Theory.
Calculus of Variations and Optimal Control; Optimization.
Probability Theory and Stochastic Processes.
QA372
515.352
Functional Analytic Methods for Evolution Equations [electronic resource] / by Giuseppe Da Prato, Peer C. Kunstmann, Lutz Weis, Irena Lasiecka, Alessandra Lunardi, Roland Schnaubelt ; edited by Mimmo Iannelli, Rainer Nagel, Susanna Piazzera. - CDLXXXIV, 474 p. online resource. - Lecture Notes in Mathematics, 1855 0075-8434 ; . - Lecture Notes in Mathematics, 1855 .
Preface -- Giuseppe Da Prato: An Introduction to Markov Semigroups -- Peer C. Kunstmann and Lutz Weis: Maximal$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.
9783540446538
10.1007/b100449 doi
Differential Equations.
Differential equations, partial.
Fourier analysis.
Operator theory.
Mathematical optimization.
Distribution (Probability theory.
Ordinary Differential Equations.
Partial Differential Equations.
Fourier Analysis.
Operator Theory.
Calculus of Variations and Optimal Control; Optimization.
Probability Theory and Stochastic Processes.
QA372
515.352