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arXiv · 1604.00303

Mode stability of self-similar wave maps in higher dimensions

Ovidiu Costin·Roland Donninger·Irfan Glogić
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Abstract

We consider co-rotational wave maps from Minkowski space in $d+1$ dimensions to the $d$-sphere. Recently, Bizoń and Biernat found explicit self-similar solutions for each dimension $d\geq 4$. We give a rigorous proof for the mode stability of these self-similar wave maps.

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Ovidiu Costin, Roland Donninger, Irfan Glogić. 2016-08-24. Mode stability of self-similar wave maps in higher dimensions. https://doi.org/10.1007/s00220-016-2776-7

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