On some spectral properties of a class of degenerate elliptic differential operators

S. A. Iskhokov   ; M. G. Gadoev   ; M. N. Petrova

Matematičeskie zametki SVFU, Tome 23 (2016) no. 2, pp. 31-50

Résumé

Some spectral properties are investigated for a class of degenerate-elliptic operators A with singular matrix coefficients generated by noncoercive sesquilinear forms. Operator A is considered in the Hilbert space $L_2(\Omega)^l$, where $\Omega\subset R^n$ is a limit-tube domain and $l>0$ is an integer.

Détail

Keywords: spectral properties, degenerate-elliptic operator, noncoercitive sesquilinear form, limit-cylindrical $(x)$ domain, resolvent of generalized Dirichlet problem.

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