Dynamics at the threshold for blowup for supercritical wave equations outside a ball
- Author(s)
- Piotr Bizoń, Maciej Maliborski
- Abstract
We consider spherically symmetric supercritical focusing wave equations outside a ball. Using mixed analytical and numerical methods, we show that the threshold for blowup is given by a codimension-one stable manifold of the unique static solution with exactly one unstable direction. We analyse in detail the convergence to this critical solution for initial data fine-tuned to the threshold.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Jagiellonian University in Krakow
- Journal
- Nonlinearity
- Volume
- 33
- Pages
- 3195-3205
- No. of pages
- 11
- ISSN
- 0951-7715
- DOI
- https://doi.org/10.1088/1361-6544/ab8352
- Publication date
- 05-2020
- Peer reviewed
- Yes
- Keywords
- ASJC Scopus subject areas
- Statistical and Nonlinear Physics, Mathematical Physics, Physics and Astronomy(all), Applied Mathematics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/dynamics-at-the-threshold-for-blowup-for-supercritical-wave-equations-outside-a-ball(fceff2a7-39c6-418f-9bce-a1c79d2eade1).html