A hypersingular integral equation for the floating body problem |
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| Authors: | Reinhard Hochmuth |
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| Institution: | 1. University of California , Riverside, CA, 92521;2. Concordia University , Montreal, Quebec, H4B 1R6, Canada |
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| Abstract: | 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. |
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| Keywords: | Floating body problem hypersingular integral equation Gárding inequality |
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