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SUMMARY:Markus Dafinger (University of Jena\, Germany)
DTSTART:20201021T162000Z
DTEND:20201021T180000Z
DTSTAMP:20260423T023013Z
UID:GDEq/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/15/">A 
 converse to Noether's theorem</a>\nby Markus Dafinger (University of Jena\
 , Germany) as part of Geometry of differential equations seminar\n\n\nAbst
 ract\nThe classical Noether's theorem states that symmetries of a variatio
 nal functional lead to conservation laws of the corresponding Euler-Lagran
 ge equation. It is a well-known statement to physicists with many applicat
 ions. In the talk we investigate a reverse statement\, namely that a diffe
 rential equation which satisfies sufficiently many symmetries and correspo
 nding conservation laws leads to a variational functional whose Euler-Lagr
 ange equation is the given differential equation. The aim of the talk is t
 o 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.\n
LOCATION:https://researchseminars.org/talk/GDEq/15/
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