Wednesday, June 25, 2025 - 16:15 in B2-238 + Zoom
On blowup stability in energy supercritical wave equations
A talk in the Oberseminar Analysis series by
David Wallauch-Hajdin from EPFL
| Abstract: |
This talk will focus on well-known examples of wave equations, primarily, the classical nonlinear wave equation with a focusing power nonlinearity and the wave maps equation. Both equations exhibit rich dynamics, in particular self-similar blow up solutions. I will report on results concerning the stability of such solutions in the energy supercritical regime and highlight the underlying spectral structures which one needs to understand in order to prove such results. The main focus will lie on results in optimal topologies in terms of L² based Sobolev spaces, which in turn require the derivation of Strichartz estimates for wave equations with self-similar potentials.
This is based on joint work with Roland Donninger.
Within the CRC this talk is associated to the project(s): A8 |
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