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SUMMARY:A principle for minimizers of regularized functionals
DTSTART:20250603T090000Z
DTEND:20250603T100000Z
DTSTAMP:20260610T152500Z
UID:indico-event-14304@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alessandro Scagliotti (Université technique de Muni
 ch)\n\nWhen minimizing a regularized functional—i.e.\, one of the form H
 (u) = F(u) + α G(u)\, where G is a regularization term and α is the reg
 ularization parameter—one generally expects multiple minimizers to exist
 \; one might furthermore expect those different minimizers to have differe
 nt regularization values. We show\, however\, that for most choices of the
  regularization parameter\, all minimizers of the regularized functional s
 hare the same regularization value\, and the proof does not require any as
 sumptions on the domain or on smoothness/convexity properties of the invol
 ved functionals.\nWe also prove a stronger result concerning the invarianc
 e of the limit of the regularization value along minimizing sequences for 
 the regularized functional. Moreover\, we demonstrate how these findings e
 xtend to multi-regularized functionals and—when an underlying differenti
 able structure is present—to critical points.\n\nhttps://indico.math.cnr
 s.fr/event/14304/
LOCATION:Salle de conférence (LJAD)
URL:https://indico.math.cnrs.fr/event/14304/
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