A hypersingular integral equation for the floating body problem
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Authors
A new boundary integral equation formulation for the floating body problem, which is defined on a bounded domain and includes a hypersingular and a nonlocal part, is proved to satisfy a Gärding inequality. Under the assunlption of uniqueness it is shown, that an approximating sequence of related semidiscrete integral operators is uniformly bounded invertible.
| Original language | English |
|---|---|
| Journal | Applicable analysis. An international journal |
| Volume | 74 |
| Issue number | 1-2 |
| Pages (from-to) | 57-70 |
| Number of pages | 14 |
| ISSN | 0003-6811 |
| DOIs | |
| Publication status | Published - 01.02.2000 |
| Externally published | Yes |
- Mathematics
- 45A05, 45M10, 76B20, Floating body problem, Gárding inequality, Hypersingular integral equation