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Eigenvalueasymptotics of the Stokes operator for fractal domains

Published online by Cambridge University Press:  01 May 1998

AM Caetano
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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.

Keywords

Stokeseigenvalueasymptoticsfractalcounting functionleading termremainder
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 76 , Issue 3 , May 1998 , pp. 579 - 602
Copyright
London Mathematical Society 1998

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