Author | Prato, Giuseppe Da. author |
---|---|

Title | 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 |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2004 |

Connect to | http://dx.doi.org/10.1007/b100449 |

Descript | CDLXXXIV, 474 p. online resource |

SUMMARY

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 L̂p-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

CONTENT

Preface -- Giuseppe Da Prato: An Introduction to Markov Semigroups -- Peer C. Kunstmann and Lutz Weis: Maximal$L_pยง-regularity for Parabolic Equations, Fourier Multiplier Theorems and $Ĥ\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

Mathematics
Fourier analysis
Operator theory
Differential equations
Partial differential equations
Calculus of variations
Probabilities
Mathematics
Ordinary Differential Equations
Partial Differential Equations
Fourier Analysis
Operator Theory
Calculus of Variations and Optimal Control; Optimization
Probability Theory and Stochastic Processes