Electron. J. Diff. Eqns., Vol. 1997(1997), No. 21, pp 1-14.

A spectral problem with an indefinite weight for an elliptic system

Mamadou Sango

Abstract:
We establish the completeness and the summability in the sense of Abel-Lidskij of the root vectors of a non-selfadjoint elliptic problem with an indefinite weight matrix and the angular distribution of its eigenvalues.

Submitted September 18, 1997. Published November 29, 1997.
Math Subject Classification: 35P99, 35J55, 58G25.
Key Words: indefinite weight, completeness, summability, root vectors.

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Mamadou Sango
Department of Mathematics, University of the Witwatersrand, P.O. Box 2050 Johannesburg, South Africa.
e-mail: msango@gauss.cam.wits.ac.za
Department of Mathematics, Vista University, Private bag X050, Vanderbijlpark 1900, South Africa.
e-mail: sango-m@serval.vista.ac.za
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