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Spectral analysis of non-self-adjoint elliptic operators. (English) Zbl 0614.35064
Differential equations and their applications, Equadiff 6, Proc. 6th Int. Conf., Brno/Czech. 1985, Lect. Notes Math. 1192, 197-202 (1986).
[For the entire collection see Zbl 0595.00009.]
We deal with the spectral analysis of complex symmetric operators and show that it is possible to obtain similar results on existence of eigenvalues and completeness of sets of eigenvectors as in the case of symmetric compact operators.
35P05 General topics in linear spectral theory for PDEs
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
47F05 General theory of partial differential operators