Global existence and uniqueness of Schrödinger maps in dimensions $d\geq 4$

Details Global existence and uniqueness of Schrödinger maps in dimensions $d\geq 4$ Global existence and uniqueness of Schrödinger maps in dimensions $d\geq 4$

2006-07-23

arxiv.org/abs/math/0607579v2

Mathematics

Analysis of PDEs

Added references on orthonormal frames

Scientific paper

In dimensions $d\geq 4$, we prove that the Schr\"{o}dinger map initial-value
problem admits global (in time) solutions for smooth data with small norm in
the critical Sobolev space.

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