This, the fourth edition of Stuwe's book on the calculus of variations, surveys new developments in this exciting field. It also gives a concise introduction to variational methods. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. A number of changes have been made throughout the text.
Rezensionen / Stimmen
From the reviews of the fourth edition: "The fourth edition of Michael Struwe's book Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems was published in 2008, 18 years after the first edition. ... The bibliography alone would make it a valuable reference as it contains nearly 500 references. ... Struwe's book is addressed to researchers in differential geometry and partial differential equations." (John D. Cook, MAA Online, January, 2009) "This is the fourth edition of a standard reference work on direct methods in the calculus of variations. ... The book contains a wealth of important results that would otherwise be hard to find in one single place." (M. Kunzinger, Monatshefte fur Mathematik, Vol. 160 (4), July, 2010)
Produkt-Info
Reihe
Auflage
Sprache
Verlagsort
Berlin, Heidelberg
Deutschland
Zielgruppe
Editions-Typ
Produkt-Hinweis
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 23 mm
Gewicht
ISBN-13
978-3-540-74012-4 (9783540740124)
DOI
10.1007/978-3-540-74013-1
Schweitzer Klassifikation
Michael Struwe is full Professor of Mathematics at ETH Zurich.
Prof. Struwe was born on October 6, 1955 in Wuppertal, Germany. He studied mathematics at the University of Bonn. After receiving his doctorate in 1980, he was a member of the scientific staff in the special research sector 72 of the German research foundation and later an assistant at the Mathematical Institute of the University of Bonn. He spent extended research visits in Paris and at the ETH Zurich. In 1984 he was awarded the Felix Hausdorff Prize of the University of Bonn.
On April 1, 1986 Michael Struwe was appointed assistant professor, on October 1, 1990 associate professor and in 1993 he became full Professor of Mathematics at the ETH Zurich. From October, 2002 to September, 2004 he served as head of the ETH Mathematics Department. His research focuses on non-linear partial differential equations and the calculus of variations as well as their applications in mathematical physics and differential geometry.
In 2006 he received the Credit Suisse Award For Best Teaching.
He is editor of the series Â'Lectures in Mathematics, ETH ZürichÂ' and co-editor of the series Â'Zurich Lectures in Advanced MathematicsÂ'; moreover, he is co-editor of the journals Â'Calculus of VariationsÂ', Â'Duke Mathematical JournalÂ', and Â'International Mathematical Research NoticesÂ'.
The Direct Methods in the Calculus of Variations.- Minimax Methods.- Limit Cases of the Palais-Smale Condition.
