A converse to Noether's theorem

Markus Dafinger (University of Jena, Germany)

21-Oct-2020, 16:20-18:00 (3 years ago)

Abstract: The classical Noether's theorem states that symmetries of a variational functional lead to conservation laws of the corresponding Euler-Lagrange equation. It is a well-known statement to physicists with many applications. In the talk we investigate a reverse statement, namely that a differential equation which satisfies sufficiently many symmetries and corresponding conservation laws leads to a variational functional whose Euler-Lagrange equation is the given differential equation. The aim of the talk is to provide some background of the so-called inverse problem of the calculus of variations and then to discuss some new results, for example, how to prove the reverse statement.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( paper )


Geometry of differential equations seminar

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