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SUMMARY:Zanbing Dai (University of Minnesota)
DTSTART:20201116T170000Z
DTEND:20201116T175000Z
DTSTAMP:20260423T024754Z
UID:anpdews/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/42/"
 >The Regularity boundary value problem in domains with lower dimensional b
 oundaries.</a>\nby Zanbing Dai (University of Minnesota) as part of HA-GMT
 -PDE Seminar\n\n\nAbstract\nRecently\, Guy David\, Joseph Feneuil and Svit
 lana Mayboroda developed an elliptic theory in domains with lower dimensio
 nal boundaries. They studied a class of degenerate second order elliptic o
 perators $-\\textup{div} A\\nabla$ \, where A is a weighted matrix. The Di
 richlet boundary value problem associated with these operators in\nhigher 
 codimension has already been solved by Joseph Feneuil\, Svitlana Mayboroda
  and Zihui Zhao. We currently focus on the regularity boundary problem. Ro
 ughly speaking\, we are interested in the relation between the gradient of
  weak solutions and the gradient of boundary data whenever the boundary ha
 s higher regularity and coefficients satisfy a certain smoothness conditio
 n . In this talk\, I will introduce our main results about the solvability
  of the regularity boundary value problem in the higher codimension.  This
  is joint work with Svitlana Mayboroda and Joseph Feneuil.\n
LOCATION:https://researchseminars.org/talk/anpdews/42/
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