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SUMMARY:Catherine Bandle (University Basel)
DTSTART:20210518T170000Z
DTEND:20210518T180000Z
DTSTAMP:20260423T035037Z
UID:OSGA/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/61/">Do
 main variations for boundary value problems.</a>\nby Catherine Bandle (Uni
 versity Basel) as part of Online Seminar "Geometric Analysis"\n\n\nAbstrac
 t\nWe consider boundary value problems which are Euler-Lagrange equations 
 of certain energy-functionals. Important questions in this context are: Ho
 w do they depend on the geometry of the domain on which they are defined? 
 For instance\, does the energy assume a minimum among all domains of given
  volume? How does the optimal region\, if it exists\, look like? \n\nThe t
 echnique of domain variations studies the changes of functionals under inf
 initesimal deformations. It is a differential calculus that allows to deri
 ve necessary conditions for the geometry of an optimal domain. Its beginni
 ngs go back to Hadamard in 1908\, who calculated the first variation of Gr
 een's functions with Dirichlet boundary conditions. In this talk\, the fir
 st and second variations of the energy of torsion problem with Robin bound
 ary conditions will be discussed.\n
LOCATION:https://researchseminars.org/talk/OSGA/61/
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