This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Agmon, S., Lectures on Elliptic Boundary Value Problems, Van Nostrand, Princeton, N. J., 1965.
Besjes, J. G., Singular perturbation problems for linear elliptic differential operators of arbitrary order. I. Degeneration to elliptic operators, J. Math. Anal. Appl., 49, 24–46, (1975).
de Groen, P. P. N., Singular perturbation of spectra, in Asymptotic Analysis, From Theory to Application, F. Verhulst, Ed., Lecture Notes in Mathematics, Vol. 711, Springer-Verlag, Berlin, 9–32, (1979).
Eckhaus, W., Matched Asymptotic Expansions and Singular Perturbations, North-Holland Mathematics Studies, No. 6, American Elsevier, New York, 1973.
Eckhaus, W., Asymptotic Analysis of Singular Perturbations, North-Holland, Amsterdam, 1979.
Fife, P. C., Singularly perturbed elliptic boundary value problems. I. Poisson kernels and potential theory, Annali di Mat. Pura Appl., Ser. 4, 90, 99–148, (1971).
Friedman, A., Partial Differential Equations, Holt, Rinehart, and Winston, New York, 1969.
Greenlee, W. M., Singular perturbation of eigenvalues of semi-bounded operators, in Séminaires IRIA, analyse et contrôle de systèmes, IRIA-Laboria, Rocquencourt, France, 17–78, (1978).
Greenlee, W. M., Stability theorems for singular perturbation of eigenvalues, Manuscripta Math., 34, 157–174, (1981).
Greenlee, W. M., Degeneration of a compound plate system to a membrane-plate system: a singularly perturbed transmission problem, to appear in Annali di Mat. Pura Appl.
Handelman, G. H., Keller, J. B., and O'Malley, R. E. Jr., Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations. I. Eigenvalue problems, Comm. Pure Appl. Math., 22, 243–261, (1968).
Lions, J. L., Equations Différentielles Opérationnelles et Problèmes aux Limites, Springer-Verlag, Berlin, 1961.
Lions, J. L., and Magenes, E., Non-Homogeneous Boundary Value Problems and Applications, Vol. I, Dunod, Paris, 1968; Springer-Verlag, Berlin, 1971.
Stummel, F., Singular perturbations of elliptic sesquilinear forms, in Conference on the Theory of Ordinary and Partial Differential Equations, W. M. Everitt and B. I. Sleeman, Eds., Lecture Notes in Mathematics, Vol. 280, Springer-Verlag, Berlin, 155–180, 1972.
Višik, M. I., and Lyusternik, L. A., Regular degeneration and boundary layer for linear differential equations with small parameter, Uspehi Mat. Nauk SSSR 12, 3–122, (1957); Am. Math. Soc. Trans., Ser. 2, 20, 239–364, (1962).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Greenlee, W.M. (1982). Singular perturbation of non-self-adjoint elliptic eigenvalue problems. In: Eckhaus, W., de Jager, E.M. (eds) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics, vol 942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094738
Download citation
DOI: https://doi.org/10.1007/BFb0094738
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11584-7
Online ISBN: 978-3-540-39332-0
eBook Packages: Springer Book Archive