Radially symmetric wave maps from (1 + 2)-dimensional Minkowski space to general targets

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Abstract.

Extending our previous work [5] on this subject we show global existence of smooth solutions to the Cauchy problem for wave maps from the (1 + 2)-dimensional Minkowski space to an arbitrary smooth, compact Riemannian manifold without boundary, for arbitrary smooth, radially symmetric data.

Received: 14 December 2001 / Accepted: 1 March 2002 / Published online: 6 August 2002