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Green's Function and Infinite Time Bubbling in the Semilinear Heat Equation at the Critical Sobolev Exponent

By Mónica Musso, Pontifical Catholic University of ChileCenter for Analysis of Partial Differential Equations

We discuss some new results on globally defined in time positive solutions of the semilinear heat equation with critical power nonlinearity and Dirichlet boundary conditions in a bounded domain. For any given number k we can find a solution that, as time grows, blows up exactly at k points of the domain with a bubbling profile that can be precisely computed. This is joint work with Carmen Cortazar and Manuel del Pino.

Earlier Event: April 26
Later Event: April 26
Coffee Break