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DESCRIPTION:Mihalis Mourgoglou (Universidad de Pais Vasco)\n\n \n\nTitle: "
Varopoulos' type extensions and applications to the solvability of Boundary
Value Problems for second order elliptic operators in rough domains".\n\n
\n\nAbstract: In this talk I will talk about some recent advances in solvab
ility of Boundary Value Problems for second order elliptic operators in rou
gh domains. The main ingredient is the construction of Varopoulos' type ext
ensions. Namely\, those are extensions $u$ of $f \in L^p$ and $w$ of $g \in
W^{1\,p}$ boundary data so that the Carleson functional of $\nabla u$ and
$Lw$ are in $L^p$ and the non-tangential maximal function of $u$ and $\nabl
a w$ are in $L^p$ with norms bounded by the $L^p$ norm of $f$ and the $ W^{
1\,p}$ norm of $g$ respectively. My plan is to show how those extensions ap
pear in a natural way and sketch their construction.
DTEND:20230321T185000Z
DTSTAMP:20241110T030918Z
DTSTART:20230321T180000Z
LOCATION:Math Sciences Bldg\, 111
SEQUENCE:0
SUMMARY:Math. Dept. Analysis Seminar - Mihalis Mourgoglou (Universidad de P
ais Vasco)
UID:tag:localist.com\,2008:EventInstance_42676571389455
URL:https://calendar.missouri.edu/event/math_dept_analysis_seminar_-_mihali
s_mourgoglou_universidad_de_pais_vasco
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