Showing 2024 · math.APShow all
2 papers · 2 filters
math.AP2024
Supercritical Lane-Emden equation on a cone with an inhomogeneous Dirichlet boundary condition
Sho Katayama
We consider the Lane-Emden equation with a supercritical nonlinearity with an inhomogeneous Dirichlet boundary condition on an infinite cone. Under suitable conditions for the boun…
math.AP2024
Fundamental solution to the heat equation with a dynamical boundary condition
Kazuhiro Ishige, Sho Katayama, Tatsuki Kawakami
We give an explicit representation of the fundamental solution to the heat equation on a half-space of with the homogeneous dynamical boundary condition, and obtain…