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- W2897729894 abstract "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." @default.
- W2897729894 created "2018-10-26" @default.
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- W2897729894 date "2018-10-11" @default.
- W2897729894 modified "2023-09-27" @default.
- W2897729894 title "A stationary heat conduction problem" @default.
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- W2897729894 hasPublicationYear "2018" @default.
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