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Eigenvalueasymptotics of the Stokes operator for fractal domains
Published online by Cambridge University Press: 01 May 1998
Abstract
The leading asymptotic term for the function that counts the eigenvalues of the Stokes operator is determined for fairly general underlying bounded domains. Moreover, the remainder is estimated in terms of the fractality of the boundary of the domain. The results obtained resemble corresponding ones for the Dirichlet Laplacian.
1991 Mathematics Subject Classification: 35P20.
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- Research Article
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- London Mathematical Society 1998
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