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Zbl 1137.35068
Ionescu, Alexandru D.; Kenig, Carlos E.
Low-regularity Schrödinger maps. II: Global well-posedness in dimensions $d \geq 3$. (English)
[J] Commun. Math. Phys. 271, No. 2, 523-559 (2007). ISSN 0010-3616; ISSN 1432-0916/e

The authors prove that the Schrödinger map initial value problem is globally well-posed in dimensions $d \geq 3$ for small data in the critical Besov spaces.
[Ömer Kavaklioglu (Izmir)]

MSC 2000:: *35Q55 NLS-like (nonlinear Schroedinger) equations
35B45 A priori estimates
35-02 Research monographs (partial differential equations)
35B65 Smoothness of solutions of PDE

Keywords: critical Besov spaces

Cited in: Zbl 1242.35181 Zbl 1142.35076

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