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Global results for Schrödinger maps in dimensions n 3. (English) Zbl 1148.35083
Author’s summary: We study the global well-posedness theory for the Schrödinger maps equation. We work in n+1 dimensions, for n3, and prove a global well-posedness result for small initial data in B ˙ 2,1 n 2 .
MSC:
35Q55NLS-like (nonlinear Schrödinger) equations
42B99Fourier analysis in several variables