. A P ] 8 M ay 2 00 6 LOW - REGULARITY SCHRÖDINGER MAPS , II : GLOBAL WELL - POSEDNESS IN DIMENSIONS d ≥ 3
نویسندگان
چکیده
In dimensions d ≥ 3, we prove that the Schrödinger map initialvalue problem { ∂ts = s×∆xs on R × R; s(0) = s0 is globally well-posed for small data s0 in the critical Besov spaces Ḃ d/2 Q (R ; S), Q ∈ S.
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