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Smooth local
solutions to Schrödinger flows with damping term for maps
into symplectic manifolds
Bo Chen and Youde Wang |
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Vol. 326 (2023), No. 2, 187–226
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Abstract |
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We show the existence of short-time very regular solutions to the initial Neumann boundary value problem of Schrödinger flows with damping term (or Landau–Lifshitz–Gilbert flows) for maps from a 3-dimensional compact Riemannian manifold with smooth boundary into a compact symplectic manifold. |
Keywords
Schrödinger flow with damping term, initial Neumann
boundary value problem
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Mathematical Subject Classification
Primary: 35K51, 35Q60, 58J35
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Milestones
Received: 15 January 2023
Revised: 29 August 2023
Accepted: 26 October 2023
Published: 9 January 2024
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Authors |
| Bo Chen | |
| School of Mathematics South China University of Technology Guangzhou China |
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| Youde Wang | |
| School of Mathematics and
Information Sciences Guangzhou University Guangzhou China |
Hua Loo-Keng Key Laboratory of
Mathematics University of the Chinese Academy of Sciences Beijing China |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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