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BIRS Workshop Lecture Videos

Infinite time bubbling in the critical heat equation: the role of Green’s Function Musso, Monica


We construct global unbounded solutions for the critical nonlinear heat equation on a bounded smooth domain satisfying zero Dirichlet boundary conditions. Given an integer k, and given any set of k distinct points of the domain, which satisfy a certain condition involving Green’s function of the domain, we find a positive solution for the critical heat equation blowing up at exactly those k points as time goes to infinity. This work is in collaboration with C. Cortazar and M. del Pino.

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