Calculus of Variations

• Main Author: Rindler, Filip (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Universitext,
• Subjects: Calculus of variations.; Partial differential equations.; Functional analysis.; Mathematical physics.; Calculus of Variations and Optimal Control; Optimization.; Partial Differential Equations.; Functional Analysis.; Mathematical Applications in the Physical Sciences.

This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field. Starting from ten motivational examples, the book begins with the most important...

Table of Contents:

• Part I Basic Course
• 1 Introduction
• 2 Convexity
• 3 Variations
• 4 Young Measures
• 5 Quasiconvexity
• 6 Polyconvexity
• 7 Relaxation
• Part II Advanced Topics
• 8 Rigidity
• 9 Microstructure
• 10 Singularities
• 11 Linear-Growth Functionals
• 12 Generalized Young Measures
• 13 G-Convergence
• A Prerequisites
• References
• Index.