Geodesic
Estimates of the spectrum of compact pseudodifferential operators in unbounded domains
Sbornik. Mathematics, Tome 70 (1991) no. 2, pp. 431-443

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We study the spectrum of compact selfadjoint pseudodifferential operators with matrix symbol in unbounded sets in Euclidean space. Two-sided bounds for the spectrum are obtained by the variational method. Additional regularity assumptions on the symbol lead to a formula for the spectral asymptotics with a remainder term estimate. 
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     author = {A. S. Andreev},
     title = {Estimates of the spectrum of compact pseudodifferential operators in unbounded domains},
     journal = {Sbornik. Mathematics},
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     url = {http://geodesic.mathdoc.fr/item/SM_1991_70_2_a6/}
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A. S. Andreev. Estimates of the spectrum of compact pseudodifferential operators in unbounded domains. Sbornik. Mathematics, Tome 70 (1991) no. 2, pp. 431-443. http://geodesic.mathdoc.fr/item/SM_1991_70_2_a6/