2 citations · 5 across the 5 of their papers we have counts for
5 papers
Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms
Yoshikazu Giga, Hiroyoshi Mitake, Hung V. Tran
We study a level-set mean curvature flow equation with driving and source terms, and establish convergence results on the asymptotic behavior of solutions as time goes to infinity…
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…
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…
On representation of boundary integrals involving the mean curvature for mean-convex domains
Yoshikazu Giga, Giovanni Pisante
Given a mean-convex domain with boundary of class , we provide a representation formula for a boundary integral of the type \[ \int_{\partial Ω} f(k(x)) \,…
Periodic total variation flow of non-divergence type in Rn
Mi-Ho Giga, Yoshikazu Giga, Norbert Pozar
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…