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A hypersingular integral equation for the floating body problem

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Original languageEnglish
Pages (from-to)57-70
Number of pages14
JournalApplicable analysis
Volume74
Issue number1-2
Publication statusPublished - Feb 2000

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.

Keywords

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

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Cite this

A hypersingular integral equation for the floating body problem. / Hochmuth, Reinhard.
In: Applicable analysis, Vol. 74, No. 1-2, 02.2000, p. 57-70.

Research output: Contribution to journal › Article › Research › peer review

Hochmuth R. A hypersingular integral equation for the floating body problem. Applicable analysis. 2000 Feb;74(1-2):57-70. doi: 10.1080/00036810008840803
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