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[] []\cmr/m/n/17 State the well-posedness and blowup prob-lem for wave-

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[] []\cmr/m/n/17 Prove global well-posedness for large data and blowup

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\cmr/m/n/17 Critical points of this func-tional are called wave maps. 

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\cmr/m/n/17 har-monic maps is known, though, and is due to Helein). 

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\cmr/m/n/17 by many au-thors (Choquet-Bruhat, Christodolou, Gu,

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[] []\cmr/m/n/17 For small smooth data whose im-age lies near a geodesic,

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[] []\cmr/m/n/17 In con-trast to ex-is-tence re-sults, blowup or ill-posedness

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[] []\cmr/m/n/17 In three di-men-sions, Shatah and Talvidar-Zadeh have

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\cmr/m/n/17 Note that we have an $\cmm/m/it/17 L[]L[]$ \cmr/m/n/17 es-ti-mate, 
which is stronger

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[23] [24] (wavemap.aux) ) 
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Output written on wavemap.dvi (24 pages, 33436 bytes).