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: | , , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
American Institute of Mathematical Sciences (AIMS)
2018
|
| Online Access: | http://hdl.handle.net/1721.1/116029 https://orcid.org/0000-0002-8220-4466 |
| _version_ | 1811079458880225280 |
|---|---|
| author | Toro, Tatiana Staffilani, Gigliola Pollack, Daniel Lamm, Tobias Kenig, Carlos |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Toro, Tatiana Staffilani, Gigliola Pollack, Daniel Lamm, Tobias Kenig, Carlos |
| author_sort | Toro, Tatiana |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:15:21Z |
| format | Article |
| id | mit-1721.1/116029 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T11:15:21Z |
| publishDate | 2018 |
| publisher | American Institute of Mathematical Sciences (AIMS) |
| record_format | dspace |
| spelling | mit-1721.1/1160292022-09-27T18:12:35Z The Cauchy problem for Schrödinger flows into Kähler manifolds Toro, Tatiana Staffilani, Gigliola Pollack, Daniel Lamm, Tobias Kenig, Carlos Massachusetts Institute of Technology. Department of Mathematics Staffilani, Gigliola 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. 2018-05-31T19:21:59Z 2018-05-31T19:21:59Z 2010-02 2010-02 2018-05-30T17:41:53Z Article http://purl.org/eprint/type/JournalArticle 1078-0947 1553-5231 http://hdl.handle.net/1721.1/116029 Toro, Tatiana et al. “The Cauchy Problem for Schrödinger Flows into Kähler Manifolds.” Discrete and Continuous Dynamical Systems 27, 2 (February 2010): 389–439 https://orcid.org/0000-0002-8220-4466 http://dx.doi.org/10.3934/dcds.2010.27.389 Discrete and Continuous Dynamical Systems Series A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Institute of Mathematical Sciences (AIMS) American Institute of Mathematical Sciences |
| spellingShingle | Toro, Tatiana Staffilani, Gigliola Pollack, Daniel Lamm, Tobias Kenig, Carlos The Cauchy problem for Schrödinger flows into Kähler manifolds |
| title | The Cauchy problem for Schrödinger flows into Kähler manifolds |
| title_full | The Cauchy problem for Schrödinger flows into Kähler manifolds |
| title_fullStr | The Cauchy problem for Schrödinger flows into Kähler manifolds |
| title_full_unstemmed | The Cauchy problem for Schrödinger flows into Kähler manifolds |
| title_short | The Cauchy problem for Schrödinger flows into Kähler manifolds |
| title_sort | cauchy problem for schrodinger flows into kahler manifolds |
| url | http://hdl.handle.net/1721.1/116029 https://orcid.org/0000-0002-8220-4466 |
| work_keys_str_mv | AT torotatiana thecauchyproblemforschrodingerflowsintokahlermanifolds AT staffilanigigliola thecauchyproblemforschrodingerflowsintokahlermanifolds AT pollackdaniel thecauchyproblemforschrodingerflowsintokahlermanifolds AT lammtobias thecauchyproblemforschrodingerflowsintokahlermanifolds AT kenigcarlos thecauchyproblemforschrodingerflowsintokahlermanifolds AT torotatiana cauchyproblemforschrodingerflowsintokahlermanifolds AT staffilanigigliola cauchyproblemforschrodingerflowsintokahlermanifolds AT pollackdaniel cauchyproblemforschrodingerflowsintokahlermanifolds AT lammtobias cauchyproblemforschrodingerflowsintokahlermanifolds AT kenigcarlos cauchyproblemforschrodingerflowsintokahlermanifolds |