This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. In the first chapters, the necessary material on Fourier transformation and distribution theory is presented. Subsequently the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space is developed. In order to present the deep results on regularity questions for partial differential equations, an introduction to the theory of singular integral operators is given - which is of interest for its own. Moreover, to get a wide range of applications, one chapter is devoted to the modern theory of Besov and Bessel potential spaces. In order to demonstrate some fundamental approaches and the power of the theory, several applications to wellposedness and regularity question for elliptic and parabolic equations are presented throughout the book. The basic notation of functional analysis needed in the book is introduced and summarized in the appendix. The text is comprehensible for students of mathematics and physics with a basic education in analysis.
Dermatology" covers all the classical and related fields of dermatology, providing a wealth of infor- mation on clinical features, pathophysiology, and differen- tial diagnosis. Approximately 850 excellent color figures help the reader become acquainted with the immense variety of dermatological diseases. Each chapter contains detailed proposals for comprehensive therapy. The book is a must for every doctor confronted with dermatological problems.
Accompanying DVD-ROM contains the electronic proceedings of the summer school on mathematical general relativity and global properties of solutions of Einstein's equations held at Cargèse, Corsica, France, July 20-Aug. 10, 2002.
Meta-X is a user-friendly computer program that allows students, teachers, and researchers to perform a metapopulation viability analysis i.e. to assess the extinction risk of (meta)populations on discrete, partially isolated patches of habitat, in a comfortable way. The CD comes with an extensive handbook which explains the basic concept of the program and takes you on a guided tour through a model experiment. It further provides the necessary scientific background on both metapopulation dynamics and population viability analysis. A special feature of Meta-X is that it supports comparative analyses of alternative scenarios. This predestines Meta-X to serve as an aid for decision making in conservation management and landscape planning. Furthermore, handbook and software together provide an invaluable help in research and teaching.
Posen und seine Hochschuleinrichtungen waren seit den polnischen Teilungen Ende des 18. Jahrhunderts immer wieder Ausgangspunkt deutsch-polnischer Auseinandersetzungen gewesen, wobei von polnischer Seite stets das gewichtige Argument einer Mehrheit der polnischen Bevölkerung in dieser Region angeführt wurde, die sich immer wieder gegen intensive Germanisierungsbestrebungen zu wehren hatte. Diese erreichten in der Zeit der nationalsozialistischen Herrschaft ihren Höhepunkt, zugleich bedeuteten sie aber auch den tiefsten Punkt der deutsch-polnischen Beziehungen. Mit dieser Abhandlung wird über die bisherigen Darstellungen der «Reichsuniversität Posen» hinausgehend die Vorgeschichte dieser ausschließlich dem Nationalsozialismus verpflichteten Hochschule dargestellt. Dabei handelt es sich vor allem um die 1903 bis 1919 wirkende «Königliche Akademie in Posen» sowie die zunächst von 1919 bis 1939 bestehende polnische Universität Posen. Für die Zeit nach dem Ende des Zweiten Weltkrieges werden in einem abschließenden Kapitel die Entstehung und die weitere Entwicklung der polnischen «Adam-Mickiewicz-Universität» in Posen sowie ihre nationale und internationale Bedeutung behandelt.
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