On Blowup in Supercritical Wave Equations

On Blowup in Supercritical Wave Equations

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 in H 2 × H 1 of the ODE blowup profile.

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Veröffentlicht in:Communications in mathematical physics 2016-09, Vol.346 (3), p.907-943
Hauptverfasser: Donninger, Roland, Schörkhuber, Birgit
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Wave equations
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Beschreibung
Zusammenfassung: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 in H 2 × H 1 of the ODE blowup profile.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-016-2610-2