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Free keywords:
Mathematics, Analysis of PDEs, math.AP
Abstract:
We consider equivariant wave maps from $\mathbb{R}^{d+1}$ to $\mathbb{S}^d$
in supercritical dimensions $3\leq d\leq 6$. Using mixed numerical and analytic
methods, we show that the threshold of blowup is given by the codimension-one
stable manifold of a self-similar solution with one instability.