Remarks on Traces of $H^1$-functions Defined in a Domain with Corners
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概要
- 論文の詳細を見る
The set of traces of $H^1(Ω)$-functions on a part $γ$ of the boundary $\rdΩ$ is considered, where $Ω$ is a bounded domain in ${\Bbb R}^2$ with a certain singularity, particularly, with corners at the end points of $γ$. The aim of the present paper is to show that the set of all traces of functions in $H^1(Ω)$ is equal algebraically and topologically to the domain of a certain fractional power of minus Laplacian on $γ$ with the zero boundary condition. The result is expected to be of use for the mathematical analysis of the DDM (domain decomposition method) applied to such $Ω$.
- 東京大学の論文
著者
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FUJITA Hiroshi
Kyushu University
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Fujita H
Dept.of Intelligent Systems Faculty Of Information Science And Electrical Eng. Kyushu Univ.
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Fujita H
Kyushu University
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Saito Norikazu
International Institute for Advanced Studies
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Fujita Hiroshi
The Research Institute of Educational Development
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