On blowup in supercritical wave equations
arXiv:1411.7905 · doi:10.1007/s00220-016-2610-2
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.
arXiv comment54 pages, statement clarified, typos fixed
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Cited by in corpus (8)
- Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation
- Mode stability of self-similar wave maps in higher dimensions
- Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities
- On the existence and stability of blowup for wave maps into a negatively curved target
- 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