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Singular perturbation theory for semibounded operators
Author:
W. M. Greenlee
Journal:
Bull. Amer. Math. Soc. 82 (1976), 341-343
MSC (1970):
Primary 47A55, 35B25
MathSciNet review:
0420313
Full-text PDF
References |
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Additional Information
- 1.
W.
M. Greenlee, Singular perturbation of eigenvalues, Arch.
Rational Mech. Anal. 34 (1969), 143–164. MR 0249797
(40 #3038)
- 2.
Tosio
Kato, Perturbation theory for linear operators, Die
Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag
New York, Inc., New York, 1966. MR 0203473
(34 #3324)
- 3.
J.-L.
Lions, Perturbations singulières dans les problèmes
aux limites et en contrôle optimal, Lecture Notes in
Mathematics, Vol. 323, Springer-Verlag, Berlin, 1973 (French). MR 0600331
(58 #29078)
- 4.
Robert
E. O’Malley Jr., Topics in singular perturbations,
Advances in Math. 2 (1968), 365–470 (1968). MR 0232056
(38 #382)
- 5.
M.
I. Višik and L.
A. Ljusternik, Regular degeneration and boundary layer for linear
differential equations with small parameter, Amer. Math. Soc. Transl.
(2) 20 (1962), 239–364. MR 0136861
(25 #322)
- 1.
- W. M. Greenlee, Singular perturbation of eigenvalues, Arch. Rational Mech. Anal. 34 (1969), 143-164. MR 40 #3038. MR 249797
- 2.
- T. Kato, Perturbation theory for linear operators, Die Grundlehren der math. Wissenschaften, Band 132, Springer-Verlag, New York, 1966. MR 34 #3324. MR 203473
- 3.
- J. L. Lions, Perturbations singulières dans les problèmes aux limites et en contrôle optimal, Lecture Notes in Math., vol. 323, Springer-Verlag, Berlin, 1973. MR 600331
- 4.
- R. E. O'Malley, Jr., Topics in singular perturbations, Advances in Math. 2 (1968), 365-470. MR 38 #382. MR 232056
- 5.
- M. I. Višik and L. A. Ljusternik, Regular degeneration and boundary layer for linear differential equations with a small parameter, Uspehi Mat. Nauk 12 (1957), no. 5 (77), 3-122; English transl., Amer. Math. Soc. Transl. (2) 20 (1962), 239-364. MR 20 #2539; 25 #322. MR 136861
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1976-14055-4
PII:
S 0002-9904(1976)14055-4
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