Existence and uniqueness for planar anisotropic and crystalline curvature flow.Reportar como inadecuado




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1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique 2 Dipartimento di Matematica Pura e Applicata Padova 3 Dipartimento di Matematica Pisa

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.

Keywords : forcing terms Mean curvature flow crystalline curvature flow anisotropy gradient flow minimizing movements forcing terms.





Autor: Antonin Chambolle - Matteo Novaga -

Fuente: https://hal.archives-ouvertes.fr/



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