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UID:7911@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160201T100000
DTEND;TZID=Europe/Paris:20160201T110000
DTSTAMP:20241120T205603Z
URL:https://www.i2m.univ-amu.fr/evenements/a-first-order-approach-to-bound
 ary-value-problems-for-elliptic-equations-with-rough-complex-coefficients-
 and-fractional-regularity-data/
SUMMARY:Alex Amenta (Australian National University): A first-order approac
 h to boundary value problems for elliptic equations with rough complex coe
 fficients and fractional regularity data
DESCRIPTION:Alex Amenta: We consider the well-posedness of boundary value p
 roblems associated with elliptic equations $\\div A \nabla u = 0$ with com
 plex $t$-independent coefficients on the upper half-space\, and with bound
 ary data in Besov--Hardy--Sobolev (BHS) spaces. A key tool in our study is
  a theory of BHS spaces adapted to first-order operators which are bisecto
 rial with bounded $H^\\infty$ functional calculus\, and which satisfy cert
 ain off-diagonal estimates.\nWithin a range of exponents determined by pro
 perties of adapted BHS spaces\, we show that well-posedness of a boundary 
 value problem is equivalent to an associated projection being an isomorphi
 sm. As an application\, for equations with real coefficients\, we extend k
 nown well-posedness results for the Regularity problem with data in Hardy 
 and Lebesgue spaces to a large range of BHS spaces.\nThis work is part of 
 a doctoral thesis supervised by Pascal Auscher (Paris-Sud) and Pierre Port
 al (Australian National University).\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 016/02/Alex_Amenta.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20151025T020000
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