Dynamics at the threshold for blowup for supercritical wave equations outside a ball
arXiv:1909.01626 · doi:10.1088/1361-6544/ab8352
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 analyze in detail the convergence to this critical solution for initial data fine-tuned to the threshold.
arXiv comment11 pages, 5 figures
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