3 papers
math.AP2026
Regularity of Solutions to One-Dimensional Degenerate Diffusion Equations with Reactions
Bendong Lou, Junfan Lu
We study the one-dimensional reaction-diffusion equation \[ u_t=[A(u)]_{xx}+f(x,u). \] The diffusion operator belongs to a broad class of nonlinear degenerate diffusion operators t…
math.AP2025
Fife-McLeod's Theorem for Spatially Periodic Degenerate Diffusion Equations
Bendong Lou, Junfan Lu
For one dimensional homogeneous bistable diffusion equations, Fife-McLeod ([Arch. Ration. Mech. Anal., 65 (1977), 335-361]) gave a well-known theorem which says that spreading solu…
math.AP2018
Entire Solutions of the Fisher-KPP Equation on the Half Line
Bendong Lou, Junfan Lu, Yoshihisa Morita
In this paper we study the entire solutions of the Fisher-KPP equation on the half line with Dirichlet boundary condition at . (1). For any $c\g…