2 papers
math.AP2025
Solvability of inhomogeneous fractional semilinear heat equations in Lorentz--Morrey spaces
Yusuke Oka
We study the Cauchy problem for the fractional semilinear heat equation with distributional inhomogeneous terms. By introducing the Lorentz--Morrey spaces, we overcome limitations…
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…