| File | |
| language |
eng
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| Author |
Kurata, Hisayasu
Yamasaki, Maretsugu
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| Description | A minimizer of the Dirichlet norm of order 1 is called a 1-harmonic function. The aim of this paper is a research of properties of 1-harmonic functions on a network. First we consider the 1-Dirichlet space and show that every network is of 1-hyperbolic type and that the ideal boundary coincides with the 1-harmonic boundary. Next we introduce the notion of 1-harmonic functions and that of strongly 1-harmonic functions. We discuss the Dirichlet problem and the maximum principle with respect to (strongly) 1-harmonic functions.
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| Subject | discrete potential theory
1-harmonic function
strongly 1-harmonic function
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| Journal Title |
島根大学総合理工学研究科紀要. シリーズB
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| Volume | 48
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| Start Page | 1
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| End Page | 14
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| ISSN | 13427121
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| Published Date | 2015-03
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| NCID | AA12638295
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| Publisher | 島根大学総合理工学研究科
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| NII Type |
Departmental Bulletin Paper
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| Format |
PDF
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| Text Version |
出版社版
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| OAI-PMH Set |
Interdisciplinary Graduate School of Science and Engineering
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| 他の一覧 |
