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SUMMARY:Gael Yomgne Diebou (Uni Bonn)
DTSTART:20220510T160000Z
DTEND:20220510T170000Z
DTSTAMP:20260423T035029Z
UID:OSGA/110
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/110/">W
 ell-posedness theory for the weakly harmonic maps problem subject to irreg
 ular data</a>\nby Gael Yomgne Diebou (Uni Bonn) as part of Online Seminar 
 "Geometric Analysis"\n\n\nAbstract\nWe study the existence\, uniqueness an
 d regularity of weakly harmonic maps\ninto a closed Riemannian manifold. I
 n this talk\, I will emphasize on the\nnovel ideas\, based on intrinsic fe
 atures of the problem and modern\nharmonic analysis tools which allow us t
 o prescribe Dirichlet data with\ninfinite energy. More precisely\, we prov
 e that under a mere smallness\nhypothesis on the boundary data measured in
  the $L^{\\infty}$ or $BMO$\nnorm\, there exists a unique solution which i
 s locally infinitely smooth.\nWhile this regularity feature fails in absen
 ce of the smallness assumption\,\nexistence still persists for large data 
 provided the domain is bounded and\nthere exist smooth stable  weakly harm
 onic maps.\nThis is a joint work with Herbert Koch.\n
LOCATION:https://researchseminars.org/talk/OSGA/110/
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