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Singularities of corotational wave maps from (1 + 2)‐dimensional Minkowski space into a surface N of revolution after a suitable rescaling give rise to nonconstant corotational harmonic maps from 𝕊 2 into ℕ. In consequence, for noncompact target surfaces of revolution, the Cauchy problem for wave maps is globally well‐posed.
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Michaël Struwe (2003) studied this question.
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