15 citations · 40 across the 12 of their papers we have counts for
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math.AP2013★ 4 cited
Anisotropic total variation flow of non-divergence type on a higher dimensional torus
Mi-Ho Giga, Yoshikazu Giga, Norbert Pozar
We extend the theory of viscosity solutions to a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of an arbitrary dimension with diff…
math.AP2013★ 11 cited
Homogenization of the Hele-Shaw problem in periodic spatiotemporal media
Norbert Pozar
We consider the homogenization of the Hele-Shaw problem in periodic media that are inhomogeneous both in space and time. After extending the theory of viscosity solutions into this…
math.AP2013★ 2 cited
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…