A hypersingular integral equation for the floating body problem

authored by

Reinhard Hochmuth

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.

Organisation(s)

Institute of the Teaching of Mathematics and Physics

Type

Article

Journal

Applicable analysis

Volume

74

Pages

57-70

No. of pages

14

ISSN

0003-6811

Publication date

02.2000

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Analysis, Applied Mathematics

Electronic version(s)

https://doi.org/10.1080/00036810008840803 (Access: Unknown)