Spectral asymptotics of a nonself-adjoint elliptic differential operator with an indefinite weight function |
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Authors: | A G Kostyuchenko |
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Institution: | (1) Moscow State University, Moscow, Russia |
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Abstract: | In the present paper, we compute the leading term of the asymptotics of the angular eigenvalue distribution function of the problem Au = λω(x)u(x) in a bounded domain Ω ? R n , where A is an elliptic differential operator of order 2m with domain D(A) ? W m 2m (Ω). The weight function ω(x) (x ∈ Ω) is indefinite and can also take zero values on a set of positive measure. |
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