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Mathematics > Analysis of PDEs
Title: Stable blowup for focusing semilinear wave equations in all dimensions
(Submitted on 17 Apr 2023 (v1), last revised 7 May 2024 (this version, v2))
Abstract: We consider the wave equation with focusing power nonlinearity. The associated ODE in time gives rise to a self-similar solution known as the ODE blowup. We prove the nonlinear asymptotic stability of this blowup mechanism outside of radial symmetry in all space dimensions and for all superlinear powers. This result covers for the first time the whole energy-supercritical range without symmetry restrictions.
Submission history
From: Matthias Ostermann [view email][v1] Mon, 17 Apr 2023 11:53:07 GMT (41kb)
[v2] Tue, 7 May 2024 12:53:26 GMT (43kb)
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