On the spectrum of singularly perturbed operators

O. A. Olejnik

Journées équations aux dérivées partielles (1989)

  • page 1-10
  • ISSN: 0752-0360

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Olejnik, O. A.. "On the spectrum of singularly perturbed operators." Journées équations aux dérivées partielles (1989): 1-10. <http://eudml.org/doc/93188>.

@article{Olejnik1989,
author = {Olejnik, O. A.},
journal = {Journées équations aux dérivées partielles},
keywords = {spectrum; elliptic boundary value problems; family of compact selfadjoint operators},
language = {eng},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {On the spectrum of singularly perturbed operators},
url = {http://eudml.org/doc/93188},
year = {1989},
}

TY - JOUR
AU - Olejnik, O. A.
TI - On the spectrum of singularly perturbed operators
JO - Journées équations aux dérivées partielles
PY - 1989
PB - Ecole polytechnique
SP - 1
EP - 10
LA - eng
KW - spectrum; elliptic boundary value problems; family of compact selfadjoint operators
UR - http://eudml.org/doc/93188
ER -

References

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  1. [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. Zbl0711.47003
  2. [2] O.A. OLEINIK - A.S. SHAMAEV - G.A. YOSIFIAN : Mathematical problems in mechanics of strongly nonhomogeneous elastic media ; North-Holland, Amsterdam, 1990. 
  3. [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. [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. Zbl0486.35063MR83d:35129
  5. [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. Zbl0542.73006MR85m:73010
  6. [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. [7] O.A. OLEINIK : On spectrums of some singularly perturbed operators ; Uspekhi Mat. Nauk, 42, n° 3, 1987, p. 221-222. 
  8. [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. Zbl0702.34050
  9. [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. [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. Zbl0685.73025
  11. [11] J. SANCHEZ - HUBERT, E. SANCHEZ - PALENCIA : Vibration and coupling of continuous systems. Asymptotic methods ; Springer-Verlag, Berlin Heidelberg 1989. Zbl0698.70003

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