On blowup in supercritical wave equations

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.

54 pages, statement clarified, typos fixed

References in corpus (1)

• Blow-up results for semilinear wave equations in the super-conformal case

Cited by in corpus (8)

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• A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory
• Co-dimension one stable blowup for the supercritical cubic wave equation
• Optimal blowup stability for three-dimensional wave maps
• Hyperboloidal evolution and global dynamics for the focusing cubic wave equation