Lagrangian mean curvature flow with boundary
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Publication:2127345
DOI10.1007/s00526-022-02229-0OpenAlexW2988879456WikidataQ114017915 ScholiaQ114017915MaRDI QIDQ2127345
Christopher G. Evans, Ben Lambert, Albert D. Wood
Publication date: 20 April 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.04977
Calabi-Yau manifoldLagrangian mean curvature flowLawlor neckDirichlet-Neumann boundary conditionequivariant Lagrangian discself-shrinking Clifford torus
Initial-boundary value problems for higher-order parabolic equations (35K35) Lagrangian submanifolds; Maslov index (53D12) Flows related to symplectic and contact structures (53E50)
Cites Work
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- Convexity estimates for mean curvature flow with free boundary
- The Ricci flow on manifolds with boundary
- A regularity theorem for graphic spacelike mean curvature flows
- The constant angle problem for mean curvature flow inside rotational tori
- Interior estimates for hypersurfaces moving by mean curvature
- Fukaya categories and Picard-Lefschetz theory
- Local existence for parabolic problems with fully nonlinear boundary condition; an \(L_ p\)-approach
- Non-parametric mean curvature evolution with boundary conditions
- Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
- Regularizing a singular special Lagrangian variety
- Mean curvature flow with Dirichlet boundary conditions in Riemannian manifolds with symmet\-ries
- Special Lagrangians, stable bundles and mean curvature flow
- Angle theorems for the Lagrangian mean curvature flow
- Regularity estimates for solutions to the mean curvature flow with a Neumann boundary condition
- Convergence of solutions to the mean curvature flow with a Neumann boundary condition
- Finite time singularities for Lagrangian mean curvature flow
- Remarks on the self-shrinking Clifford torus
- The free-boundary Brakke flow
- Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow
- Construction of maximal hypersurfaces with boundary conditions
- Mean curvature flow of entire graphs in a half-space with a free boundary
- Lagrangian mean curvature flow of Whitney spheres
- Non-parametric radially symmetric mean curvature flow with a free boundary
- Mean curvature flow of monotone Lagrangian submanifolds
- Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
- Anchored Lagrangian submanifolds and their Floer theory
- Deformations of minimal Lagrangian submanifolds with boundary
- The isoperimetric inequality for a minimal submanifold in Euclidean space
- Mean curvature flow of Killing graphs
- Mean curvature flow with free boundary outside a hypersphere
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn
- Mean curvature flow with free boundary on smooth hypersurfaces