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SUMMARY:Jungang Li (Brown University)
DTSTART:20200813T150000Z
DTEND:20200813T155000Z
DTSTAMP:20260423T022840Z
UID:anpdews/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/21/"
 >The L^p-ellipticity and L^p-Dirichlet problems of second order elliptic s
 ystems</a>\nby Jungang Li (Brown University) as part of HA-GMT-PDE Seminar
 \n\n\nAbstract\nIn this talk we will discuss a structural condition of sec
 ond order elliptic systems with complex coefficients\, namely the L^p-elli
 pticity condition\, which can be viewed as an L^p version of the classical
  ellipticity condition. Such condition naturally implies both interior and
  boundary estimates\, which act as a proper substitution of the De Giorgi-
 Nash-Moser regularity theory. The new regularity result will help us to pr
 ove an extrapolation theorem of the L^p-Dirichlet problem and we will appl
 y it to two well-studied cases: Lam\\'e equations and homogenization probl
 ems. This is a joint work with M. Dindos and J. Pipher.\n
LOCATION:https://researchseminars.org/talk/anpdews/21/
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