Existence and uniqueness for planar anisotropic and crystalline curvature flow.

Abstract : We prove short-time existence of φ-regular solutions to the planar anisotropic curvature flow, including the crystalline case, with an additional forcing term possibly unbounded and discontinuous in time, such as for instance a white noise. We also prove uniqueness of such solutions when the anisotropy is smooth and elliptic. The main tools are the use of an implicit variational scheme in order to define the evolution, and the approximation with flows corresponding to regular anisotropies.
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https://hal.archives-ouvertes.fr/hal-00786387
Contributor : Antonin Chambolle <>
Submitted on : Friday, February 8, 2013 - 2:59:51 PM
Last modification on : Wednesday, March 27, 2019 - 4:08:31 PM
Long-term archiving on : Monday, June 17, 2013 - 8:21:06 PM

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Antonin Chambolle, Matteo Novaga. Existence and uniqueness for planar anisotropic and crystalline curvature flow.. 2013. ⟨hal-00786387⟩

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