On Schrödinger Maps

Abstract

We study the local well-posedness theory for the Schrödinger Maps equation. We work in $n+1$ dimensions, for $n\ge 2$, and prove a local well-posedness for small initial data in $H^{\frac{n}{2}+\e}$.

Cited by in corpus (6)

• Global results for Schrödinger Maps in dimensions $n\ge 3$
• The initial value problem for a third-order dispersive flow into compact almost Hermitian manifolds
• Global Schrödinger maps
• Low-regularity Schrödinger maps, II: global well-posedness in dimensions $d\ge 3$
• Global existence and uniqueness of Schrödinger maps in dimensions $d\ge 4$
• Low-regularity Schrödinger maps