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SUMMARY:Gael Diebou (University of Bonn)
DTSTART:20200716T150000Z
DTEND:20200716T155000Z
DTSTAMP:20260423T024838Z
UID:anpdews/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/14/"
 >The Dirichlet problem for weakly harmonic maps with rough data</a>\nby Ga
 el Diebou (University of Bonn) as part of HA-GMT-PDE Seminar\n\n\nAbstract
 \nIn this talk\, we will discuss the well-posedness issues for weakly harm
 onic maps subject to Dirichlet boundary data assuming a minimal regularity
 . After a brief description of the problem we will present our techniques 
 which partly rely on certain fundamental notions in harmonic analysis such
  as Carleson measures\, its intrinsic connection to the John-Nirenberg spa
 ce BMO and the Laplace operator... With an appropriate reformulation of ou
 r problem\, various solvability results (existence\, uniqueness and regula
 rity) will then be reviewed. Our approach (nonvariational)\, as we will se
 e\, is suitable for the analysis of critical or endpoint elliptic boundary
  value problems and hence can unambiguously be applicable to similar type 
 of equations or systems driven by classical operators. For this talk\, we 
 only mention a generalization of our results to second-order constant elli
 ptic systems.\n\nThis is a joint work with Herbert Koch.\n
LOCATION:https://researchseminars.org/talk/anpdews/14/
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