On the Poisson Equation on a Surface with a boundary condition in co-normal direction

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 theorem and some properties of \(H^1\)-functions to show the existence of a unique weak solution to the surface Poisson equa...

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Veröffentlicht in:	arXiv.org 2022-09
Hauptverfasser:	Koba, Hajime, Wakasugi, Yuki
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Dirichlet problem Existence theorems Poisson equation
Online-Zugang:	Volltext
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