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SUMMARY:Delio Mugnolo (University of Hagen)
DTSTART:20201008T150000Z
DTEND:20201008T160000Z
DTSTAMP:20260423T021725Z
UID:MPHA/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MPHA/14/">Bi
 -Laplacians on graphs: self-adjoint extensions and parabolic theory</a>\nb
 y Delio Mugnolo (University of Hagen) as part of TAMU: Mathematical Physic
 s and Harmonic Analysis Seminar\n\n\nAbstract\nElastic beams have been stu
 died by means of hyperbolic equations driven by bi-Laplacian operators sin
 ce the early 18th century: several properties of the corresponding parabol
 ic equation on the whole Euclidean space have been discovered since the 19
 60s by Krylov\, Hochberg\, and Davies\, among others. On a bounded domain 
 or a metric graph\, the bi-Laplacian is generally not anymore acting as a 
 squared operator\, though: this strongly affects the features of associate
 d PDEs.\n\nI am going to present a full characterization of self-adjoint e
 xtensions of the bi-Laplacian\, focusing on a class of realizations that e
 ncode dynamic boundary conditions. Maximum principles of parabolic equatio
 ns will also be discussed: after a transient time\, I am going to show tha
 t solutions often display Markovian features.\n\nThis is joint work with F
 ederica Gregorio.\n
LOCATION:https://researchseminars.org/talk/MPHA/14/
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