학술논문
Scattering for wave maps exterior to a ball
Document Type
Working Paper
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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.
Comment: 41 pages. Fixed minor typos. To appear in Advances in Mathematics
Comment: 41 pages. Fixed minor typos. To appear in Advances in Mathematics