Course

MATH-604: Some Aspects of Calculus of Variations

Summary

The goal of this course is to present an overview on the solvability and the regularity of relevant models of physical, technological and economical systems, which may be formulated as minimization problems of suitable integral functionals.

Lectures

Instructors

Official source

https://edu.epfl.ch/coursebook/en/some-aspects-of-calculus-of-variations-MATH-604

Moodle Page

http://go.epfl.ch/MATH-604

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Summary

Lectures

Instructors

Official source

https://edu.epfl.ch/coursebook/en/some-aspects-of-calculus-of-variations-MATH-604

Moodle Page

http://go.epfl.ch/MATH-604

About this result

Lectures in this course (14)

Calculus of Variations: Introduction

Introduces calculus of variations with examples like the Brachistochrone problem in an applied context.

Calculus of Variations: Gradient Young Theorem

Covers the Gradient Young Theorem in the calculus of variations, discussing proofs and applications.

Variational Problems: Quasi-Convexity

Explores the theory of quasi-convexity in variational problems from continuum mechanics, discussing its principles, applications, and relationship with convexity.

Variations: Jensen-Type Inequality

Covers the Jensen-Type inequality for young meanres and the connection between young and quasi convexity.

Blow up Technique

Explores the Blow up Technique in Variations, emphasizing its role in establishing boundedness and verifying integral fractional properties.

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