The spectrum of an elliptic operator of second order |
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Authors: | T M Kerimov V A Kondrat'ev |
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Institution: | (1) Azerbaidzhan Institute of National Economy, USSR |
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Abstract: | Under minimal requirements on the coefficients and the boundary of the domain it is proved that the spectrum of the first boundary-value problem for an elliptic operator of second order always lies in the half-plane ![lambda](/content/t5427123n1777502/xxlarge955.gif) Re , where ![lambda](/content/t5427123n1777502/xxlarge955.gif) is the leading eigenvalue to which there corresponds a nonnegative eigenfunction. On the line Re = ![lambda](/content/t5427123n1777502/xxlarge955.gif) , there are no other points of the spectrum.Translated from Matematicheskie Zametki, Vol. 20, No. 3, pp. 351–358, September, 1976. |
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