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arXiv · 1207.5591

Long time solutions for wave maps with large data

Jinhua Wang·Pin Yu
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Abstract

For 2 + 1 dimensional wave maps with $\mathbb{S}^2$ as the target, we show that for all positive numbers $T_0 > 0$ and $E_0 > 0$, there exist Cauchy initial data with energy at least $E_0$, so that the solution's life-span is at least $[0,T_0]$. We assume neither symmetry nor closeness to harmonic maps.

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Jinhua Wang, Pin Yu. 2012-07-24. Long time solutions for wave maps with large data. https://arxiv.org/abs/1207.5591

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