2 papers
math.AP2024
Quenching for axisymmetric hypersurfaces under forced mean curvature flows
Hiroyoshi Mitake, Yusuke Oka, Hung Vinh Tran
Here, we study the motion of axisymmetric hypersurfaces evolved by forced mean curvature flows in the periodic setting. We establish conditions that quenching occ…
math.AP2023
Existence of solutions for time fractional semilinear parabolic equations in Besov--Morrey spaces
Yusuke Oka, Erbol Zhanpeisov
We consider the Cauchy problem for a time fractional semilinear heat equation with initial data belonging to inhomogeneous/homogeneous Besov--Morrey spaces. We present sufficient c…