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BEGIN:VEVENT
UID:news1964@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260227T152105
DTSTART;TZID=Europe/Zurich:20260325T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Yi Zhang (Chinese Academ
 y of Sciences\, Beijing)
DESCRIPTION:The classical Serrin's overdetermined theorem states that a C^2
  bounded domain\, which admits a function with constant Laplacian that sat
 isfies both constant Dirichlet and Neumann boundary conditions\, must nece
 ssarily be a ball. Similar results also hold for the anisotropic Laplacian
 \, and even more general elliptic operators. While extensions of these the
 orems to non-smooth domains have been explored since the 1990s\, the appli
 cability of Serrin's theorem to Lipschitz domains remained unknown. In thi
 s talk we discuss some recent progress on this problem\, for both isotropi
 c and anisotropic cases\, showing that the results hold for domains under 
 some weak assumptions\, including Lipschitz domains. 
X-ALT-DESC:<p>The classical Serrin's overdetermined theorem states that a C
 ^2 bounded domain\, which admits a function with constant Laplacian that s
 atisfies both constant Dirichlet and Neumann boundary conditions\, must ne
 cessarily be a ball. Similar results also hold for the anisotropic Laplaci
 an\, and even more general elliptic operators. While extensions of these t
 heorems to non-smooth domains have been explored since the 1990s\, the app
 licability of Serrin's theorem to Lipschitz domains remained unknown. In t
 his talk we discuss some recent progress on this problem\, for both isotro
 pic and anisotropic cases\, showing that the results hold for domains unde
 r some weak assumptions\, including Lipschitz domains.<br />&nbsp\;</p>
DTEND;TZID=Europe/Zurich:20260325T151500
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