4 papers
Singular Dirichlet boundary problems for a class of fully nonlinear parabolic equations in one dimension
Takashi Kagaya
In this paper, we deal with the initial value problem for a class of fully nonlinear parabolic equations with a singular Dirichlet boundary condition in one space dimension. The in…
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations
Takashi Kagaya, Qing Liu, Hiroyoshi Mitake
This paper is concerned with a general class of fully nonlinear parabolic equations with monotone nonlocal terms. We investigate the quasiconvexity preserving property of positive,…
Global stability of traveling waves for an area preserving curvature flow with contact angle condition
Takashi Kagaya
We consider an evolving plane curve with two endpoints that can move freely on the -axis with generating constant contact angles. We discuss the asymptotic behavior of global-in…
Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles
Takashi Kagaya, Yoshihito Kohsaka
The traveling waves for surface diffusion of plane curves are studied. We consider an evolving plane curve with two endpoints, which can move freely on the x-axis with generating c…