Nonlinear evolution problems

seminar: Global existence for H¹ critical waves in 3-d domains

speaker: Fabrice Planchon (Université de Nice Sophia-Antipolis )

abstract: We prove that the defocusing quintic wave equation, with Dirichlet boundary conditions, is globally well posed on $H1₀(\Omega) \times L2( \Omega)$ for any smooth (compact) domain $\Omega \subset \mathbb{R}^3$. The main ingredient in the proof is an $L5$ spectral projector estimate, obtained recently by Smith and Sogge, combined with a detailed study of the boundary value problem.

timetable:
Fri 22 Sep, 9:30 - 10:25, Aula Magna Dipartimento di Matematica applicata
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