The Cauchy problem for Schrödinger flows into Kähler manifolds
We prove local well-posedness of the Schrödinger flow from ℝ n into a compact Kähler manifold N with initial data in H[superscript s+1] (ℝ[superscript n],N) for 3≥ [n/2]+4.
Main Authors: | Toro, Tatiana, Staffilani, Gigliola, Pollack, Daniel, Lamm, Tobias, Kenig, Carlos |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Published: |
American Institute of Mathematical Sciences (AIMS)
2018
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Online Access: | http://hdl.handle.net/1721.1/116029 https://orcid.org/0000-0002-8220-4466 |
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