Geodesic
On perturbation of a polyharmonic operator by delta-like potentials
Sbornik. Mathematics, Tome 58 (1987) no. 2, pp. 389-396 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some results are obtained on perturbation of a polyharmonic operator by potentials having small support. Bibliography: 9 titles. 
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A. Fraguela Collar. On perturbation of a polyharmonic operator by delta-like potentials. Sbornik. Mathematics, Tome 58 (1987) no. 2, pp. 389-396. http://geodesic.mathdoc.fr/item/SM_1987_58_2_a4/

[1] Friedman C. N., “Perturbation of the Shrodinquer equation by potentials with small support”, J. Functional Analysis, 10:3 (1972) | DOI | MR | Zbl

[2] Chueshov I. D., “O vozmuschenii operatora Shredingera potentsialami s malymi nositelyami”, Matem. zametki, 20:5 (1976), 675–680 | MR | Zbl

[3] Berezin F. A., Faddeev L. D., “Zamechanie o uravnenii Shredingera s singulyarnym potentsialom”, DAN SSSR, 137:5 (1961), 1011–1014 | MR | Zbl

[4] Fragela A., Ellipticheskie operatory s deltaobraznymi potentsialami, Dis. ... kand. fiz-matem nauk, Izd-vo MGU, M., 1980

[5] Mazya V. G., “O $(p,l)$-emkosti, teoremakh vlozheniya i spektre ellipticheskogo samosopryazhennogo operatora”, Izv. AN SSSR. Ser. matem., 37:2 (1973), 356–385 | Zbl

[6] Mazja W., Zur theorie Sobolwscher Räume, Teulner Texte, B-38, Leipzig, 1981 | MR

[7] Adams D. R., “On the existence of capacilary strong type stimates in $R_N$”, Arkiv för Matematik, 14:2 (1976) | MR

[8] Kato T., Teoriya vozmuscheniya lineinykh operatorov, Mir, M., 1972 | Zbl

[9] Khill B., Fillips R., Funktsionalnyi analiz i polugruppy, IL, M., 1962