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One-Dimensional Variational Problems: An Introduction
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One-Dimensional Variational Problems: An Introduction Hardcover - 1999 - 1st Edition

by Giuseppe Buttazzo; Mariano Giaquinta; Stefan Hildebrandt


From the publisher

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.

First line

In this first chapter we describe the classical indirect approach to solving variational problems.

Details

  • Title One-Dimensional Variational Problems: An Introduction
  • Author Giuseppe Buttazzo; Mariano Giaquinta; Stefan Hildebrandt
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 272
  • Volumes 1
  • Language ENG
  • Publisher OUP Oxford
  • Date 1999-04-08
  • Illustrated Yes
  • ISBN 9780198504658 / 0198504659
  • Weight 1.23 lbs (0.56 kg)
  • Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
  • Library of Congress subjects Calculus of variations
  • Library of Congress Catalog Number 99214744
  • Dewey Decimal Code 515.64
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One-dimensional Variational Problems: An Introduction (Oxford Lecture Series in Mathematics and Its Applications)

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One-dimensional Variational Problems: An Introduction (Oxford Lecture Series in Mathematics and Its Applications, 15)

by Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan

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