One-dimensional Variational Problems by Giuseppe Buttazzo

One-dimensional Variational Problems by Giuseppe Buttazzo

One-dimensional variational problems have been somewhat neglected in the literature on calculus of variations, as authors usually treat minimal problems for multiple integrals which lead to partial differential equations and are considerably more difficult to handle. One-dimensional problems are connected with ordinary differential equations, and hence need many fewer technical prerequisites, but they exhibit the same kind of phenomena and surprises as variational problems for multiple integrals. This book provides an modern introduction to this subject, placing special emphasis on direct methods. It combines the efforts of a distinguished team of authors who are all renowned mathematicians and expositors. Since there are fewer technical details graduate students who want an overview of the modern approach to variational problems will be able to concentrate on the underlying theory and hence gain a good grounding in the subject. Except for results from the theory of measure and integration and from the theory of convex functions, the text develops all mathematical tools needed, including the basic results on one-dimensional Sobolev spaces, absolutely continuous functions, and functions of bounded variation.

SKU	Nicht verfügbar
ISBN 13	9780198504658
ISBN 10	0198504659
Titel	One-dimensional Variational Problems
Autor	Giuseppe Buttazzo
Serie	Oxford Lecture Series In Mathematics And Its Applications
Buchzustand	Nicht verfügbar
Verlag	Oxford University Press
Erscheinungsjahr	1999-01-28
Seitenanzahl	270
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar