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SUMMARY:Mark Allen (Brigham Young U.)
DTSTART:20200924T160000Z
DTEND:20200924T170000Z
DTSTAMP:20260423T024803Z
UID:RJWAPDE/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RJWAPDE/13/"
 >A boundary Harnack principle for equations with nonzero right hand side</
 a>\nby Mark Allen (Brigham Young U.) as part of Rio de Janeiro webinar on 
 analysis and partial differential equations\n\n\nAbstract\nThe boundary Ha
 rnack principle allows one to compare the behavior of two harmonic solutio
 ns when they both vanish on the boundary. This principle has proven useful
  in PDE\, harmonic analysis\, and free boundary problems. In this talk I w
 ill review the principle and some of its applications. I will then introdu
 ce a new boundary Harnack principle for functions whose Laplacian has nonz
 ero right hand sides. This new principle has applications to Hele-Shaw flo
 w as well as free boundary problems. I will also show how we have recently
  proven this result for fully nonlinear equations as well as the p-Laplaci
 an. This is joint work with Dennis Kriventsov and Henrik Shahgholian.\n
LOCATION:https://researchseminars.org/talk/RJWAPDE/13/
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