Giuseppe Da Prato

Alessandra Lunardi

Irena Lasiecka

Roland Schnaubelt

Peer Christian Kunstmann

Lutz Weis

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.

Functional Analytic Methods for Evolution Equations

Wolfgang Reichel

Willy Dörfler

Marlis Hochbruck

Dirk Hundertmark

Andreas Rieder

Birgit Schörkhuber

Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.

Mathematics of Wave Phenomena

Roland Schnaubelt

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