Evans, CG;
Lambert, B;
Wood, A;
(2022)
Lagrangian mean curvature flow with boundary.
Calculus of Variations and Partial Differential Equations
, 61
(3)
, Article 106. 10.1007/s00526-022-02229-0.
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Abstract
We introduce Lagrangian mean curvature flow with boundary in Calabi–Yau manifolds by defining a natural mixed Dirichlet-Neumann boundary condition, and prove that under this flow, the Lagrangian condition is preserved. We also study in detail the flow of equivariant Lagrangian discs with boundary on the Lawlor neck and the self-shrinking Clifford torus, and demonstrate long-time existence and convergence of the flow in the first instance and of the rescaled flow in the second.
| Type: | Article |
|---|---|
| Title: | Lagrangian mean curvature flow with boundary |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00526-022-02229-0 |
| Publisher version: | https://doi.org/10.1007/s00526-022-02229-0 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10192703 |
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