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math.AP2017★ 1 cited
A duality based approach to the minimizing total variation flow in the space
Yoshikazu Giga, Monika Muszkieta, Piotr Rybka
We consider a gradient flow of the total variation in a negative Sobolev space under the periodic boundary condition. If , the flow is nothing but…
math.AP2017
Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to the crystalline mean curvature flow
Yoshikazu Giga, Norbert Požár
We show that every bounded subset of an Euclidean space can be approximated by a set that admits a certain vector field, the so-called Cahn-Hoffman vector field, that is subordinat…