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References
Freedman, A.: Singular perturbations for partial differential equations, Arch. Rat. Mech. Anal. 29 (1968), 289–303.
Greenlee, W.M.: Stability theorems for singular perturbations of eigenvalues, Manuscripta Math. 34 (1981), 157–174.
Grisvard, P.: Caractérization de quelques espaces d'interpolation, Arch. Rat. Mech. Anal. 25 (1967), 40–63.
Huet, D.: Singular perturbations of elliptic problems, Ann. Mat. Pura Appl. 45 (1973), 77–114.
Kato, T.: A generalization of the Heinz inequality, Proc. Japan Acad. 37 (1961), 305–308.
Kato, T.: Perturbation theory for linear operators, Springer 1966.
Lions, J.L.: Perturbations singulières dans des problèmes aux limites et le contrôle optimal, Lecture Notes in Math. 323, Springer 1973.
Najman, B.: Singular perturbations of parabolic equations, Ber. Math. Stat. Sektion Graz, No. 195 (1983).
Sinestrari, E.: On the solutions of the inhomogeneous evolution equation in Banach spaces, Acad. Naz. Lincei Ser. VIII, 70 (1981).
Sobolevskij, P.E.: On uravnenijah parboličeskogo tipa v Banachovom prostranstve, Trudy Mosk. Mat. Obšč. 10 (1961), 297–350.
Triebel, H.: Interpolation Theory, Function Spaces, Differential Operators, VEB Deutscher Verlag der Wissenschaften, Berlin 1978.
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Najman, B. (1984). The rate of convergence in singular perturbations of parabolic equations. In: Kappel, F., Schappacher, W. (eds) Infinite-Dimensional Systems. Lecture Notes in Mathematics, vol 1076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072774
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DOI: https://doi.org/10.1007/BFb0072774
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