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Generalized Lagrangian mean curvature flow in almost Calabi-Yau manifolds

Abstract:

In this work we study two problems about parabolic partial differential equations on Riemannian manifolds with conical singularities.

The first problem we are concerned with is the existence and regularity of solutions to the Cauchy problem for the inhomogeneous heat equation on compact Riemannian manifolds with conical singularities. By introducing so called weighted Hölder and Sobolev spaces with discrete asymptotics, we provide a complete existence and regularity theory for the in...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Geometry, Homological Mirror Symmetry
Oxford college:
Lincoln College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:f8a490d4-5b7c-4709-96e5-65ad3fefe922
Local pid:
ora:6613
Deposit date:
2012-12-12

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