A hypersingular integral equation for the floating body problem

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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 languageEnglish
JournalApplicable analysis. An international journal
Issue number1-2
Pages (from-to)57-70
Number of pages14
Publication statusPublished - 01.02.2000
Externally publishedYes

    Research areas

  • Mathematics
  • 45A05, 45M10, 76B20, Floating body problem, Gárding inequality, Hypersingular integral equation