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math.AP2024
Global solvability for the heat equations in two half spaces and an interface
Hajime Koba
This paper considers the existence of a global-in-time strong solution to the heat equations in the two half spaces , $\mathbb{R}^3…
math.AP2022
On the Poisson Equation on a Surface with a boundary condition in co-normal direction
Hajime Koba, Yuki Wakasugi
This paper considers the existence of weak and strong solutions to the Poisson equation on a surface with a boundary condition in co-normal direction. We apply the Lax-Milgram theo…