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@article{MMO_2014_75_2_a3, author = {V. I. Burenkov and M. Otelbaev}, title = {Comparison of the singular numbers of correct restrictions of elliptic differential operators}, journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva}, pages = {139--157}, publisher = {mathdoc}, volume = {75}, number = {2}, year = {2014}, language = {en}, url = {http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a3/} }
TY - JOUR AU - V. I. Burenkov AU - M. Otelbaev TI - Comparison of the singular numbers of correct restrictions of elliptic differential operators JO - Trudy Moskovskogo matematičeskogo obŝestva PY - 2014 SP - 139 EP - 157 VL - 75 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a3/ LA - en ID - MMO_2014_75_2_a3 ER -
%0 Journal Article %A V. I. Burenkov %A M. Otelbaev %T Comparison of the singular numbers of correct restrictions of elliptic differential operators %J Trudy Moskovskogo matematičeskogo obŝestva %D 2014 %P 139-157 %V 75 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a3/ %G en %F MMO_2014_75_2_a3
V. I. Burenkov; M. Otelbaev. Comparison of the singular numbers of correct restrictions of elliptic differential operators. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 75 (2014) no. 2, pp. 139-157. http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a3/
[1] Allakhverdiev D. E., “On the rate of approximation of completely continuous operators by finite-dimensional operators”, Uch. Zap. Azerb. Univ., 2 (1957), 27–35
[2] Burenkov V. I., Sobolev spaces on domains, Teubner-texte zur mathematik, 137, B. G. Teubner, Stuttgart, 1998 | DOI | MR | Zbl
[3] Burenkov V. I., Lamberti P. D., “Spectral stability of Dirichlet second order uniformly elliptic operators”, J. Diff. Equations, 244:7 (2008), 1712–1740 | DOI | MR | Zbl
[4] Burenkov V. I., Otelbaev M., “On singular numbers of correct restrictions of non-selfadjoint elliptic differential operators”, Eurasian Math. J., 2:1 (2011), 145–148 | MR | Zbl
[5] Fan K., “On a theorem of Weyl concerning eigenvalues of linear transformations, I”, Proc. Nat. Acad. Sci. USA, 35:11 (1949), 652–655 | DOI | MR
[6] Fan K., “On a theorem of Weyl concerning eigenvalues of linear transformations, II”, Proc. Nat. Acad. Sci. USA, 36:1 (1950), 31–35 | DOI | MR | Zbl
[7] Fan K., “A minimum property of the eigenvalues of completely continuous operators. Eigenvalues of a sum of hermitian matricies”, Amer. Math. Monthly, 60:1 (1953), 48–50 | DOI | MR
[8] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov, Nauka, M., 1965
[9] Otelbaev M., Kokebaev B. K., Shynybekov A. N., “K voprosam rasshireniya i suzheniya operatorov”, DAN SSSR, 271:6 (1983), 1307–1311 | MR
[10] Lions J.-L., Magenes E., Probl` emes aux limites non homog` enes et applications, v. 2, Travaux et recherches mathématiques, 18, Dunod, Paris, 1968
[11] Otelbaev M., Shynybekov A. N., “O korrektnykh zadachakh tipa Bitsadze–Samarskogo”, DAN SSSR, 265:4 (1982), 815–819 | MR | Zbl
[12] Triebel H., “Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators”, J. Approx. Theory, 129:1 (2004), 1–27 | DOI | MR | Zbl