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| In a joint work with Qidi Zhang, we study the global existence
of small solutions in critical spaces for the equivariant
wave maps equation bewteen two manifolds with rotational
symmetry. We prove that global existence holds for several
classes of base manifolds, and in particular we can allow for
base manifolds which are not flat at infinity. The main tools
are sharp (non endpoint) Strichartz estimates for the linear
wave and Klein-Gordon equation on a curved background. |
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