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SUMMARY:Infinite time blow-up for the 3D energy critical heat equation in 
 bounded domains - Giacomo Ageno (Cambridge)
DTSTART:20240129T140000Z
DTEND:20240129T150000Z
UID:TALK211549@talks.cam.ac.uk
CONTACT:Zexing Li
DESCRIPTION:A positive solution to the Dirichlet problem for the energy-cr
 itical heat equation typically decays exponentially fast or blows up in fi
 nite time. In this talk\, I will present the first examples of 3D global u
 nbounded solutions without radial symmetry\, precisely describing asymptot
 ic behavior and stability. The dimension plays a crucial role\, making the
  heart of the problem nonlocal and revealing a connection with the Brezis-
 Nirenberg problem. This is joint work with Manuel del Pino.
LOCATION:MR13
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