Related papers: The Cauchy problem for Schrodinger flows into Kahl…

We prove local well-posedness of the Schr\"{o}dinger flow from $R^n$ into a compact K\{"a}hler manifold $N$ with initial data in $H^{s+1}(R^n, N)$ for $s\geq n/2+4$.

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This paper has been withdrawn by the author due to a serious flaw that needs to be fixed. That is in progress by the author.

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

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This paper has been withdrawn by the authors because it has been merged with paper arXiv:0903.3501v1 [math.DG]

In this paper, we show the uniqueness of Schr\"odinger flow from a general complete Riemannian manifold to a complete K\"ahler manifold with bounded geometry. While following the ideas of McGahagan[16], we present a more intrinsic proof by…

This paper has been withdrawn by the author.

This paper has been withdrawn by the authors.

This paper was withdrawn by the authors.

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

Paper withdrawn by authors. See new version in this same listing.

This paper has been withdrawn because the new one gr-qc/0512095 includes all its results (as well as those in gr-qc/0511016) in a clearer way.

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We present some recent results on the existence of solutions of the Schr\"odinger flows, and pose some problems for further research.

This paper has been withdrawn by the authors as requested by the journal.

The Cauchy problem is investigated for the parabolic type in the some finite part $[t_0, t_1] \subset [0, \infty)$ of the semi axis $t \in [0, \infty)$ and degenarated to Schrodinger type in the remain part of the same semi axes the second…

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.