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Spectral stability of general non-negative self-adjoint operators with applications to Neumann-type operators |
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| Authors: | Victor I. Burenkov Pier Domenico Lamberti |
| Affiliation: | a Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, Wales, United Kingdom b Dipartimento di Matematica Pura ed Aplicata, Università degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy |
| Abstract: | We prove a stability theorem for the eigenvalues of general non-negative self-adjoint linear operators with compact resolvents and by applying it we prove a sharp stability result for the dependence of the eigenvalues of second order uniformly elliptic linear operators with homogeneous Neumann boundary conditions upon domain perturbation. |
| Keywords: | 35P15 35J25 47A75 47B25 |
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