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Low-regularity Schrödinger maps, II: global well-posedness in dimensions $d\geq 3$

Alexandru D. Ionescu Carlos E. Kenig
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Abstract

In dimensions greater than or equal to 3, we prove that the Schroedinger map initial-value problem is globally well-posed for small data in the critical Besov space.

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Alexandru D. Ionescu Carlos E. Kenig. 2006-05-08. Low-regularity Schrödinger maps, II: global well-posedness in dimensions $d\geq 3$. https://arxiv.org/abs/math/0605209

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