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TZID:Europe/Zurich
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DTSTART:19810329T020000
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DTSTART:19961027T030000
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BEGIN:VEVENT
UID:news830@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190327T081509
DTSTART;TZID=Europe/Zurich:20190327T141500
SUMMARY:Seminar Analysis: Tobias Weth (University of Frankfurt)
DESCRIPTION:I will report on some recent results - obtained in joint work w
 ith Huyuan Chen - on Dirichlet problems for the Logarithmic Laplacian Oper
 ator\, which arises as formal derivative of fractional Laplacians at order
  s= 0. I will discuss the functional analytic framework for these problems
  and show how it allows to characterize the asymptotics of principal Diric
 hlet eigenvalues and eigenfunctions of fractional Laplacians as the order 
 tends to zero. Furthermore\, I will discuss necessary and sufficient condi
 tions on domains giving rise to weak and strong maximum principles for the
  logarithmic Laplacian. If time permits\, I will also discuss regularity e
 stimates for solutions to corresponding Poisson problems.
X-ALT-DESC:\nI will report on some recent results - obtained in joint work 
 with Huyuan Chen - on Dirichlet problems for the Logarithmic Laplacian Ope
 rator\, which arises as formal derivative of fractional Laplacians at orde
 r s= 0. I will discuss the functional analytic framework for these problem
 s and show how it allows to characterize the asymptotics of principal Diri
 chlet eigenvalues and eigenfunctions of fractional Laplacians as the order
  tends to zero. Furthermore\, I will discuss necessary and sufficient cond
 itions on domains giving rise to weak and strong maximum principles for th
 e logarithmic Laplacian. If time permits\, I will also discuss regularity 
 estimates for solutions to corresponding Poisson problems.
DTEND;TZID=Europe/Zurich:20190327T160000
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