Lecture

Euler-Lagrange Equation

In course

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Description

This lecture covers the Euler-Lagrange equation in Sobolev spaces, presenting examples of Bolza and Clain problems. It discusses the minimization of functionals, convexity, and weak forms of the Euler-Lagrange equation. The lecture also explores the growth condition, lower semicontinuity, and the minimizer concept.

Official source

https://mediaspace.epfl.ch/media/0_foeezn5s

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis, Calculus

Physics

Mechanics: Classical mechanics

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