On the spectrum of singularly perturbed operators
Olejnik, O. A.
Journées équations aux dérivées partielles, (1989), p. 1-10 / Harvested from Numdam
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Publié le : 1989-01-01
@article{JEDP_1989____A14_0,
     author = {Oleinik, O. A.},
     title = {On the spectrum of singularly perturbed operators},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1989},
     pages = {1-10},
     zbl = {0675.47010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1989____A14_0}
}

Olejnik, O. A. On the spectrum of singularly perturbed operators. Journées équations aux dérivées partielles,  (1989), pp. 1-10. http://gdmltest.u-ga.fr/item/JEDP_1989____A14_0/

[1] O.A. Oleinik - A.S. Shamaev - G.A. Yosifian : On the limiting behavior of the spectrum of a sequence of operators defined in different Hilbert's spaces ; Uspekhi Mat. Nauk, 44, n° 3, 1989. | Zbl 0711.47003

[2] O.A. Oleinik - A.S. Shamaev - G.A. Yosifian : Mathematical problems in mechanics of strongly nonhomogeneous elastic media ; North-Holland, Amsterdam, 1990.

[3] J.L. Lions : Remarques sur les problèmes d'homogénéisation dans les milieux à structure périodique et sur quelques problèmes raides ; Ed. Eyrolles CEA-EDF. INRIA, vol. 57, 1985, p. 129-228.

[4] M. Vanninathan : Homogenization and eigenvalue problems in perforated domains ; Proc. Indian Acad. Sci., 90 (3), 1981, p. 239-271 ; C. R. Acad. Sci. Paris, v. 287, 1978, p. 403-406, p. 823-825. | MR 83d:35129 | Zbl 0486.35063

[5] E. Sanchez - Palencia : Perturbation of eigenvalues in thermoelasticity and vibration of systems with concentrated masses ; Trends and applications of Pure Mathematics to Mechanics ; Lecture Notes in Physics, 195, Springer Verlag. Berlin, 1984, p. 346-368. | MR 85m:73010 | Zbl 0542.73006

[6] O.A. Oleinik : Homogenization problems in elasticity. Spectrum of singularly perturbed operators. Non classical continuum mechanics ; Ed. R.J. Knops and A.A. Lacey, Cambridge Univ. Press, 1987, p. 80-95.

[7] O.A. Oleinik : On spectrums of some singularly perturbed operators ; Uspekhi Mat. Nauk, 42, n° 3, 1987, p. 221-222.

[8] Yu. D. Golovaty - S.A. Nazarov - O.A. Oleinik - T.S. Soboleva : On eigen vibrations of a string with concentrated masses ; Sibirsky Mat. Jour., v. 29, n° 5, 1988, p71-91. | Zbl 0702.34050

[9] O.A. Oleinik - T.S. Soboleva : On eigen vibrations of a nonhomogeneous string with finite number of concentrated masses ; Uspekhi Mat. Nauk., V. 43, n° 4, 1988.

[10] C. Leal - J. Sanchez - Hubert : Perturbation of the eigenvalues of a membrane with concentrated mass ; Quart. of Appl. Math., v.XLVI, n° 4, 1988.

[11] J. Sanchez - Hubert, E. Sanchez - Palencia : Vibration and coupling of continuous systems. Asymptotic methods ; Springer-Verlag, Berlin Heidelberg 1989. | Zbl 0698.70003