33 citations · 119 across the 43 of their papers we have counts for
4 papers · 2 filters
Motion by crystalline-like mean curvature: a survey
Yoshikazu Giga, Norbert Požár
We consider a class of anisotropic curvature flows called a crystalline curvature flow. We present a survey on this class of flows with special emphasis on the well-posedness of it…
The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain
Yoshikazu Giga, Zhongyang Gu
We introduce a space of vector fields with bounded mean oscillation whose ``tangential'' and ``normal'' components to the boundary behave differently. We establish its Helmholtz de…
On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation
Yoshikazu Giga, Hiroyoshi Mitake, Shoichi Sato
We consider an initial-boundary value problem for the time-fractional diffusion equation. We prove the equivalence of two notions of weak solutions, viscosity solutions and distrib…
Continuity of derivatives of a convex solution to a perturbed one-Laplace equation by -Laplacian
Yoshikazu Giga, Shuntaro Tsubouchi
We consider a one-Laplace equation perturbed by -Laplacian with . We prove that a weak solution is continuously differentiable () if it is convex. Note that s…