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One-dimensional Variational Problems: An Introduction (Oxford Lecture Series in Mathematics and Its Applications), by Giuseppe Buttazzo, M
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One-dimensional variational problems are often neglected in favor of problems which use multiple integrals and partial differential equations, which are typically more difficult to handle. However, these problems and their associated ordinary differential equations do exhibit many of the same challenges and complexity of higher-dimensional problems, while being accessible to more students. This book for graduate students provides the first modern introduction to this subject. It emphasizes direct methods and provides an exceptionally clear view of the underlying theory. Except for standard material on measures, integration and convex functions, the book develops all of the necessary mathematical tools, including basic results for one-dimensional Sobolev spaces, absolutely continuous functions, and functions of bounded variation.
- Sales Rank: #2688543 in Books
- Published on: 1999-04-08
- Original language: English
- Number of items: 1
- Dimensions: 9.30" h x .80" w x 6.20" l, 1.23 pounds
- Binding: Hardcover
- 272 pages
About the Author
Giuseppe Buttazzo is a professor in the Department of Mathematics at the University of Pisa. He has been a keynote speaker at many international conferences and workshops on the fields of calculus of variations, nonlinear PDEs, applied mathematics, control theory and related topics. He is the author of more than 180 scientific publications and 20 books, and he serves as an editor of several international journals.
Giaquinto is with the University of Pisa.
Hildebrandt is with the University of Bonn.
Hildebrandt is with the University of Bonn.
Giaquinto is with the University of Pisa.
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