33 citations · 119 across the 43 of their papers we have counts for
Showing 2016 · math.APShow all
3 papers · 2 filters
math.AP2016
Well-posedness of Hamilton-Jacobi equations with Caputo's time-fractional derivative
Yoshikazu Giga, Tokinaga Namba
A Hamilton-Jacobi equation with Caputo's time-fractional derivative of order less than one is considered. The notion of a viscosity solution is introduced to prove unique existence…
math.AP2016
On a resolvent estimate for bidomain operators and its applications
Yoshikazu Giga, Naoto Kajiwara
We study bidomain equations that are commonly used as a model to represent the electrophysiological wave propagation in the heart. We prove existence, uniqueness and regularity of…
math.AP2016
A level set crystalline mean curvature flow of surfaces
Yoshikazu Giga, Norbert Požár
We introduce a new notion of viscosity solutions for the level set formulation of the motion by crystalline mean curvature in three dimensions. The solutions satisfy the comparison…