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Boundary integral equations and maximum modulus estimates for the Stokes system
Author(s) -
Varnhorn Werner
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700862
Subject(s) - ansatz , bounded function , mathematical analysis , boundary (topology) , modulus , mathematics , projection (relational algebra) , integral equation , boundary value problem , geometry , mathematical physics , algorithm
A maximum modulus estimate for the Stokes system in bounded domains of ℝ n ( n ≥ 2) is established via methods of hydrodynamical potential theory. The method is based on the unique solvability of the boundary integral equations' system resulting from the double layer potential ansatz together with a projection onto the normal field on the boundary. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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