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• W923304859 abstract "We introduce a new notion of viscosity solutions for a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of arbitrary dimension, whose diffusion on flat parts with zero slope is so strong that it becomes a nonlocal quantity. The problems include the classical total variation flow and a motion of a surface by a crystalline mean curvature. We establish a comparison principle, the stability under approximation by regularized parabolic problems, and an existence theorem for general continuous initial data." @default.
• W923304859 created "2016-06-24" @default.
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• W923304859 date "2013-02-04" @default.
• W923304859 modified "2023-09-27" @default.
• W923304859 title "Periodic total variation flow of non-divergence type in Rn" @default.
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• W923304859 hasPublicationYear "2013" @default.
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