Lobo-Hidalgo, Miguel; Sanchez-Palencia, Enrique Sur certaines propriétés spectrales des perturbations du domaine dans les problèmes aux limites. (French) Zbl 0422.35065 Commun. Partial Differ. Equations 4, 1085-1098 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 Documents MSC: 35P99 Spectral theory and eigenvalue problems for partial differential equations 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35B20 Perturbations in context of PDEs Keywords:perturbation eigenvalue; Neumann problem for the Laplacian; spectral family PDF BibTeX XML Cite \textit{M. Lobo-Hidalgo} and \textit{E. Sanchez-Palencia}, Commun. Partial Differ. Equations 4, 1085--1098 (1979; Zbl 0422.35065) Full Text: DOI References: [1] Babushka I., Czech. Math. J. 15 pp 169– (1965) [2] Beale J. T., Comm. Pure Appl. Math. 26 pp 549– (1973) · Zbl 0254.35094 · doi:10.1002/cpa.3160260408 [3] Courant R., Methods of Mathematical Physics. I. (1953) · Zbl 0051.28802 [4] Kato T., Perturbation Theory for Linear Operators (1966) · Zbl 0148.12601 · doi:10.1007/978-3-642-53393-8 [5] Lions J. L., Problèmes aux limites non homogènes et applications. I. (1968) · Zbl 0235.65074 [6] Necas J., Les méthodes directes en théorie des équations elliptiques (1967) [7] Osserman R., Report of the Math. Inst. Univ. (1977) [8] Schwartz L., Théorie des distributions (1966) [9] Stummel F., Math. Zeit. 120 pp 231– (1971) · Zbl 0209.15502 · doi:10.1007/BF01117498 [10] Stummel F., Lect. Notes Math. 503 pp 110– (1976) · doi:10.1007/BFb0088748 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.