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MiS Preprint
35/1998
Spatially discrete wave maps on (1+2)-dimensional space-time
Stefan Müller and Michael Struwe
Abstract
A sequence of wave maps from $\mathbb{R} \times (h\mathbb{Z})^2$ to a compact Riemannian manifold N with uniformly bounded energy as $h \to 0$ weakly accumulates at a weak wave map $u: \mathbb{R} \times \mathbb{R}^2 \to N$. The result gives a new proof for the existence of global weak solutions to the Cauchy problem for wave maps on (1 + 2)-dimensional Minkowski space.
