broadcast in Room 505, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館505教室直播/收播)
A Cross-shaped Blow-up Solution for the Semilinear Heat Equation
Hatem Zaag (Centre national de la recherche scientifique)
Abstract
We consider the semilinear heat equation with a superlinear power nonlinearity in the Sobolev subcritical range. We construct a solution which blows up in finite time only at the origin, with a completely new blow-up profile, which is cross-shaped. Our method is general and extends to the construction of other solutions blowing up only at the origin, with a large variety of blow-up profiles, degenerate or not.
WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m11801a7ed4a4ed734a3f3fb20ffa48c4
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