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arXiv · 1112.5042

Scattering for wave maps exterior to a ball

Andrew Lawrie·Wilhelm Schlag
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Abstract

We consider 1-equivariant wave maps from \R \times (\R^3 \setminus B) to S^3 where B is a ball centered at 0, and the boundary of B gets mapped to a fixed point on S^3. We show that 1-equivariant maps of degree zero scatter to zero irrespective of their energy. For positive degrees, we prove asymptotic stability of the unique harmonic maps in the energy class determined by the degree.

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Andrew Lawrie, Wilhelm Schlag. 2012-10-07. Scattering for wave maps exterior to a ball. https://arxiv.org/abs/1112.5042

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