On blowup in supercritical wave equations
Roland Donninger, Birgit Sch\"orkhuber
TL;DR
This paper investigates the blowup behavior of focusing energy-supercritical semilinear wave equations in three dimensions, demonstrating the stability of a specific blowup profile without symmetry constraints.
Contribution
It establishes the stability of the ODE blowup profile for the supercritical wave equation without symmetry assumptions.
Findings
Proves stability of the blowup profile.
Analyzes blowup behavior in supercritical regime.
Provides insights into singularity formation.
Abstract
We study the blowup behavior for the focusing energy-supercritical semilinear wave equation in 3 space dimensions without symmetry assumptions on the data. We prove the stability of the ODE blowup profile.
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