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Journal Article

#### Threshold for blowup for equivariant wave maps in higher dimensions

##### MPS-Authors
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Maliborski,  Maciej
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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##### Fulltext (public)

1608.07707.pdf
(Preprint), 505KB

##### Supplementary Material (public)
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##### Citation

Biernat, P., Bizon, P., & Maliborski, M. (2017). Threshold for blowup for equivariant wave maps in higher dimensions. Nonlinearity, 30(4), 1513-1522. doi:10.1088/1361-6544/aa61ab.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-4F99-5
##### 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.