A hypersingular integral equation for the floating body problem
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In: Applicable analysis. An international journal, Vol. 74, No. 1-2, 01.02.2000, p. 57-70.
Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - A hypersingular integral equation for the floating body problem
AU - Hochmuth, Reinhard
PY - 2000/2/1
Y1 - 2000/2/1
N2 - 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.
AB - 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.
KW - Mathematics
KW - 45A05
KW - 45M10
KW - 76B20
KW - Floating body problem
KW - Gárding inequality
KW - Hypersingular integral equation
UR - http://www.scopus.com/inward/record.url?scp=85064293639&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/33cac825-7371-3585-af1d-e6034a59f9e0/
U2 - 10.1080/00036810008840803
DO - 10.1080/00036810008840803
M3 - Journal articles
VL - 74
SP - 57
EP - 70
JO - Applicable analysis. An international journal
JF - Applicable analysis. An international journal
SN - 0003-6811
IS - 1-2
ER -