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• W2158889712 abstract "We present a short-time existence theorem of solutions to the initial value problem for Schroedinger maps of a closed Riemannian manifold to a compact almost Hermitian manifold. The classical energy method cannot work for this problem since the almost complex structure of the target manifold is not supposed to be parallel with respect to the Levi-Civita connection. In other words, a loss of one derivative arises from the covariant derivative of the almost complex structure. To overcome this difficulty, we introduce a bounded pseudodifferential operator acting on sections of the pullback bundle, and essentially eliminate the loss of one derivative from the partial differential equation of the Schroedinger map." @default.
• W2158889712 created "2016-06-24" @default.
• W2158889712 creator A5009611786 @default.
• W2158889712 date "2008-07-22" @default.
• W2158889712 modified "2023-09-27" @default.
• W2158889712 title "Schroedinger flow into almost Hermitian manifolds" @default.
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