33 citations · 119 across the 43 of their papers we have counts for
5 papers · 1 filter
Lorentz space estimates for vector fields with divergence and curl in Hardy spaces
Yoshikazu Giga, Xingfei Xiang
In this note, we establish the estimate on the Lorentz space for vector fields in bounded domains under the assumption that the normal or the tangential component of the…
A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion
Yoshikazu Giga, Pen-Yuan Hsu, Yasunori Maekawa
We establish a Liouville type result for a backward global solution to the Navier-Stokes equations in the half plane with the no-slip boundary condition. No assumptions on spatial…
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…
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…