Keywords
- Hilbert Space
- Perturbation Theory
- Strong Convergence
- Consistency Condition
- Singular Perturbation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Agmon, S.: Lectures on elliptic boundary value problems. Princeton: Van Nostrand 1965.
Babuška, I.: Continuous dependence of eigenvalues on the domain. Czechoslovak Math. J. 15, 169–178 (1965).
Friedman, A. Singular perturbations for partial differential equations. Arch. Rational Mech. Anal. 29, 289–303 (1968).
Greenlee, W.M.: Singular perturbation of eigenvalues. Arch. Rat. Mech. Anal. 34, 143–164 (1969).
Grigorieff, R.D.: Über die Lösung regulärer koerzitiver Rand-und Eigenwertaufgaben mit dem Galerkinverfahren. Manuscripta math. 1, 385–411 (1969).
— Approximation von Eigenwertproblemen und Gleichungen zweiter Art. Math.Ann.183, 45–77 (1969).
Huet, D.: Phénomènes de perturbation singulière dans les problèmes aux limites. Ann. Inst. Fourier (Grenoble) 10, 61–150 (1960).
— Singular perturbations of elliptic variational inequalities. Ann.Math.Pura Appl., to appear.
Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966.
Morgenstern, D.: Singuläre Störungstheorie partieller Differentialgleichungen. J. Rational Mech. Anal. 5, 204–216 (1956).
Moser, J.: Singular perturbation of eigenvalue problems for linear differential equations of even order. Comm. Pure Appl. Math. 8, 251–278 (1955).
Nečas, J.: Les méthodes directes en théorie des équations elliptiques. Paris: Masson 1967.
O'Malley, R.E.: Topics in singular perturbations. Advances in Math.2, 365–470 (1968).
Stummel, F.: Rand-und Eigenwertaufgaben in Sobolewschen Räumen. Lecture Notes in Mathematics 102. Berlin-Heidelberg-New York: Springer 1969.
— Diskrete Konvergenz linearer Operatoren I. Math.Ann.190, 45–92 (1970).
—: Diskrete Konvergenz linearer Operatoren II. Math.Z. 120, 231–264 (1971).
— Diskrete Konvergenz linearer Operatoren III. To appear, Proceedings of the Oberwolfach Conference on Linear Operators and Approximation 1971, Vol. 20, Int. Series of Numerical Mathematics. Basel: Birkhäuser-Verlag.
Vainikko, G.M.: The compact approximation principle in the theory of approximation methods. USSR Comp. Math. and Math. Phys. 9, 1–32 (1969).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1972 Springer-Verlag
About this paper
Cite this paper
Stummel, F. (1972). Singular perturbations of elliptic sesquilinear forms. In: Everitt, W.N., Sleeman, B.D. (eds) Conference on the Theory of Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066926
Download citation
DOI: https://doi.org/10.1007/BFb0066926
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-05962-2
Online ISBN: 978-3-540-37618-7
eBook Packages: Springer Book Archive
