One-dimensional Variational Problems: An Introduction

✍ Scribed by Giuseppe Buttazzo, Mariano Giaquinta, Stefan Hildebrandt

Publisher: Oxford University Press, USA
Year: 1999
Tongue: English
Leaves: 272
Series: Oxford Lecture Series in Mathematics and Its Applications 15
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

One-dimensional variational problems: An

📁 One-dimensional variational problems: An introduction

✍ Giuseppe Buttazzo, Mariano Giaquinta, Stefan Hildebrandt 📂 Library 📅 1999 🏛 Oxford University Press, USA 🌐 English

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 provi

One-Dimensional Variational Problems: An

📁 One-Dimensional Variational Problems: An Introduction

✍ Giuseppe Buttazzo, Mariano Giaquinta, Stefan Hildebrandt 📂 Library 📅 1999 🏛 Oxford Univ Pr 🌐 English

One-dimensional Variational Problems: An

📁 One-dimensional Variational Problems: An Introduction

✍ Giuseppe Buttazzo, Mariano Giaquinta, Stefan Hildebrandt 📂 Library 📅 1999 🏛 Oxford University Press, USA 🌐 English

One-dimensional Variational Problems

📁 One-dimensional Variational Problems

✍ Giuseppe Buttazzo, Mariano Giaquinta, Stefan Hildebrandt 📂 Library 📅 1998 🏛 Clarendon 🌐 English

Branching solutions to one-dimensional v

📁 Branching solutions to one-dimensional variational problems

✍ Alexandr O. Ivanov, A. A. Tuzhilin 📂 Library 📅 2001 🏛 World Scientific 🌐 English

Calculus of Variations: An Introduction

📁 Calculus of Variations: An Introduction to the One-Dimensional Theory with Examples and Exercises

✍ Hansjörg Kielhöfer (auth.) 📂 Library 📅 2018 🏛 Springer International Publishing 🌐 English

<p><p>This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book <i>Variationsrechnung </i>(Vieweg+Teubner Verlag, 2010), translated a