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One-dimensional variational problems : an introduction

Author: Giuseppe Buttazzo; Mariano Giaquinta; Stefan Hildebrandt
Publisher: Oxford : Clarendon Press ; New York : Oxford University Press, 1998.
Series: Oxford lecture series in mathematics and its applications, 15.; Oxford science publications.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
While easier to solve and accessible to a broader range of students, one-dimensional variational problems and their associated differential equations exhibit many of the same complex behavior of higher-dimensional problems. This book, the first moden introduction, emphasizes direct methods and provides an exceptionally clear view of the underlying theory.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Giuseppe Buttazzo; Mariano Giaquinta; Stefan Hildebrandt
ISBN: 0198504659 9780198504658
OCLC Number: 40753470
Description: viii, 262 pages : illustrations ; 24 cm.
Contents: Classical problems and indirect methods --
Absolutely continuous functions and Sobolev spaces --
Semicontinuity and existence results --
Regularity of minimizers --
Some applications --
Scholia.
Series Title: Oxford lecture series in mathematics and its applications, 15.; Oxford science publications.
Responsibility: Giuseppe Buttazzo and Mariano Giaquinta, and Stefan Hildebrandt.
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Abstract:

An introduction to the calculus of variations. By focusing on the one-dimensional case, the text remains relatively free of technicalities, and aims to provide a useful overview of the theory at a  Read more...

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