On the Treatment of a Dirichlet–Neumann Mixed Boundary Value Problem for Harmonic Functions by an Integral Equation Method
Using an approach which extends the well-known classical integral equation methods, we reduce a mixed boundary value problem for harmonic functions to a system consisting of two integral equations of the second kind. Existence is proved by the Fredholm alternative for compact operators. The integral...
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| Vydáno v: | SIAM journal on mathematical analysis Ročník 8; číslo 3; s. 504 - 517 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Philadelphia
Society for Industrial and Applied Mathematics
01.05.1977
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| Témata: | |
| ISSN: | 0036-1410, 1095-7154 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | Using an approach which extends the well-known classical integral equation methods, we reduce a mixed boundary value problem for harmonic functions to a system consisting of two integral equations of the second kind. Existence is proved by the Fredholm alternative for compact operators. The integral equations can be solved apptgximately by successive iterations. Further investigations are made on the spectrum of the boundary integral operator. |
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| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 content type line 14 |
| ISSN: | 0036-1410 1095-7154 |
| DOI: | 10.1137/0508038 |