《One-Dimensional Variational Problems》是一本1998年Oxford University Press出版的圖書，作者是Giuseppe Buttazzo、Mariano Giaquinta、Stefan Hildebrandt。
基本介紹
- 外文名：One-Dimensional Variational Problems
- 作者：Giuseppe Buttazzo、Mariano Giaquinta、Stefan Hildebrandt
- 出版時間：1998年
- 出版社：Oxford University Press
- 頁數：272 頁
- ISBN：9780198504658
- 裝幀：Hardcover
- 副標題：An itroduction
內容簡介
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.
