2 papers
math.AP2025
Schauder estimate for the boundary diffusion equaiton
Xuzhou Yang
In this paper, a certain type of linear boundary diffusion equation is studied. Such equation is crucial in the research of a non-linear boundary diffusion problem which was origin…
math.AP2025
Green functions for the heat and Laplace equations with dynamical boundary conditions in a ball
Xuzhou Yang
The green functions for the heat and Laplace equations with dynamical boundary conditions in a ball are studied. First, the green functions of the Laplace equation with a dynamical…