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SUMMARY:Konstantin Druzhkov
DTSTART:20200629T120000Z
DTEND:20200629T140000Z
DTSTAMP:20260423T023022Z
UID:GDEq/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/10/">Ex
 tendable symplectic structures and the inverse problem of the calculus of 
 variations for systems of equations written in an extended Kovalevskaya fo
 rm</a>\nby Konstantin Druzhkov as part of Geometry of differential equatio
 ns seminar\n\n\nAbstract\nThe talk is devoted to extendable symplectic str
 uctures for systems of equations written in an extended Kovalevskaya form.
 \n\nIt is shown\, that each extension of a symplectic structure to jets is
  related to an extension of a special form.\n\nComplete description of all
  extendable symplectic structures is obtained. Relation of this result wit
 h the inverse problem of the calculus of variations is discussed.\n\nIt is
  shown\, that each variational formulation for a system of evolution equat
 ions is related to a two-sided invertible variational operator of a specia
 l form.\n
LOCATION:https://researchseminars.org/talk/GDEq/10/
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