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SUMMARY:Hyunwoo Kwon (Republic of Korea Air Force Academy)
DTSTART:20200928T160000Z
DTEND:20200928T165000Z
DTSTAMP:20260423T010005Z
UID:anpdews/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/36/"
 >Elliptic equations with singular drifts term on Lipschitz domains.</a>\nb
 y Hyunwoo Kwon (Republic of Korea Air Force Academy) as part of HA-GMT-PDE
  Seminar\n\n\nAbstract\nIn this talk\, we consider linear elliptic equatio
 n of second-order with the first term given by a singular vector field $\\
 mathbf{b}$ on bounded Lipschitz domains $\\Omega$ in $\\mathbb{R}^n$\, $(n
 \\geq 3)$. Under the assumption $\\mathbf{b}\\in L^n(\\Omega)^n$\, we esta
 blish unique solvability in $L_{\\alpha}^p(\\Omega)$ for Dirichlet and Neu
 mann problems. Here $L_{\\alpha}^p(\\Omega)$ denotes the standard Sobolev 
 spaces(or Bessel potential space) with the pair $(\\alpha\,p)$ satisfying 
 certain condition. These results extend the classical works of Jerison-Ken
 ig (1995) and Fabes-Mendez-Mitrea (1999) for the Poisson equation. In addi
 tion\, we study the Dirichlet problem for such linear elliptic equation wh
 en the boundary data is in $L^2(\\partial\\Omega)$. Necessary review on th
 is topics is also presented in this talk. This is a joint work with Hyunse
 ok Kim(Sogang University).\n
LOCATION:https://researchseminars.org/talk/anpdews/36/
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