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Direct Methods in the Calculus of Variations

BuchGebunden
622 Seiten
Englisch
Springererschienen am29.11.20072nd ed.
This book is developed for the study of vectorial problems in the calculus of variations. It is a new edition of the earlier book published in 1989. Almost half of the book consists of new material and there are added examples.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR181,89
BuchGebunden
EUR202,50
E-BookPDF1 - PDF WatermarkE-Book
EUR171,19
E-BookPDF1 - PDF WatermarkE-Book
EUR82,38

Produkt

KlappentextThis book is developed for the study of vectorial problems in the calculus of variations. It is a new edition of the earlier book published in 1989. Almost half of the book consists of new material and there are added examples.
Details
ISBN/GTIN978-0-387-35779-9
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2007
Erscheinungsdatum29.11.2007
Auflage2nd ed.
ReiheApplied Mathematical Sciences
Seiten622 Seiten
SpracheEnglisch
Gewicht996 g
IllustrationenXII, 622 p.
Artikel-Nr.11533665

Inhalt/Kritik

Inhaltsverzeichnis
Convex analysis and the scalar case.- Convex sets and convex functions.- Lower semicontinuity and existence theorems.- The one dimensional case.- Quasiconvex analysis and the vectorial case.- Polyconvex, quasiconvex and rank one convex functions.- Polyconvex, quasiconvex and rank one convex envelopes.- Polyconvex, quasiconvex and rank one convex sets.- Lower semi continuity and existence theorems in the vectorial case.- Relaxation and non-convex problems.- Relaxation theorems.- Implicit partial differential equations.- Existence of minima for non-quasiconvex integrands.- Miscellaneous.- Function spaces.- Singular values.- Some underdetermined partial differential equations.- Extension of Lipschitz functions on Banach spaces.mehr
Kritik
From the reviews of the second edition:



"This new edition is very much expanded, up to the point that it can be considered an almost entirely new book. ... I was a PhD student in the early 90's, and I have been studying and using it continuously since then. It has accompanied me and many others as a valuable source for results and as a standard reference on the subject. I am sure that this new edition will be serving in the same role as well." (Pietro Celada, Mathematical Reviews, Issue 2008 m)

"The present monograph has been ... a 'revised and augmented edition to Direct Methods in the Calculus of Variations'. ... the author maintains a fresh and lucid style, resulting in a concise, very well readable presentation. Surely this book will define a long-lasting standard in its area. ... The exhaustive bibliography comprises 621 references and covers the relevant publications in the area ... ." (Marcus Wagner, Zentralblatt MATH, Vol. 1140, 2008)

"This is a substantially extended new edition of the author's introduction to direct methods in the calculus of variations. ... The author has taken great care to include all the main developments in the area since the first edition (the list of references comprises 621 items). The book is carefully written and provides a very readable introduction to the field." (M. Kunzinger, Monatshefte für Mathematik, Vol. 160 (4), July, 2010)mehr