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A stationary heat conduction problem. (arXiv:1810.04976v1 [math.AP])
来源于:arXiv
We study a basic linear elliptic equation on a lower dimensional rectifiable
set $S$ in $\mathbb{R}^N$ with the Neumann boundary data. Set $S$ is a support
of a finite Borel measure $\mu$. We will use the measure theoretic tools to
interpret the equation and the Neumann boundary condition. For this purpose we
recall the Sobolev-type space dependent on the measure $\mu$. We establish
existence and uniqueness of weak solutions provided that an appropriate source
term is given. 查看全文>>