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Koshelev, Alexander Ivanovich
(1927–2009)
Statistics Math-Net.Ru
Total publications: 40
Scientific articles: 36

Number of views:
This page:2143
Abstract pages:7930
Full texts:3044
References:166
Professor
Doctor of physico-mathematical sciences (1959)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 20.08.1927
Website: http://mathsoc.spb.ru/pers/koshelev/umn87.pdf
Keywords: mathematical physics; boundary values problem for partial differential equations; functional analysis.

Subject:

Some regularity results conñerning boundary values problems in mathematical physics and continuum mechanics were obtained.

Biography

Graduated from Faculty of mathematics and mechanics of Leningrad University in 1949 (department of Theory elasticity). Ph.D. thesis was defended 5 of march 1953. D.Sci. thesis was defended in 1959.
   
Main publications:
  • Koshelev A. I. Regularity problem for quasilinear elliptic and parabolic systems // Lecture Notes in Mathematics, 1614, 1995, Springer, 256.

https://www.mathnet.ru/eng/person17637
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:koshelev.aleksander-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/196555
https://elibrary.ru/author_items.asp?authorid=17221

Publications in Math-Net.Ru Citations
1989
1. A. I. Koshelev, V. M. Chistyakov, “Smoothness of solutions of parabolic systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 11,  46–50  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:11 (1989), 55–61
1988
2. A. I. Koshelev, “Smoothness of the solutions of some nonlinear boundary value problems for equations with nondifferentiable coefficients”, Dokl. Akad. Nauk SSSR, 298:1 (1988),  26–28  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 18–20
3. A. I. Koshelev, “Smoothness of the solutions of quasilinear elliptic systems with nondifferentiable coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 2,  32–35  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:2 (1988), 45–50
1984
4. A. I. Koshelev, “The weighted Korn inequality and certain iteration processes for quasilinear elliptic systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 1,  7–18  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:1 (1984), 6–18
1983
5. A. I. Koshelev, S. I. Chelkak, “Regularity of solutions of elliptic systems of higher orders”, Dokl. Akad. Nauk SSSR, 272:2 (1983),  297–300  mathnet  mathscinet  zmath 2
6. A. I. Koshelev, “The weighted Korn inequality and some iteration processes for quasilinear elliptic systems”, Dokl. Akad. Nauk SSSR, 271:5 (1983),  1056–1059  mathnet  mathscinet  zmath
1982
7. A. I. Koshelev, “On precise conditions for smoothness of the solutions of elliptic systems, and Liouville's theorem”, Dokl. Akad. Nauk SSSR, 265:6 (1982),  1309–1311  mathnet  mathscinet  zmath 1
8. A. I. Koshelev, “Quasilinear elliptic degenerate equations and convergence of an iteration process. III”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 7,  30–39  mathnet  mathscinet  zmath
1981
9. A. I. Koshelev, “Quasilinear elliptic degenerate equations and convergence of an iteration process. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 11,  21–28  mathnet  mathscinet  zmath
10. A. I. Koshelev, “Quasilinear elliptic degenerate equations and convergence of an iteration process. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 10,  31–40  mathnet  mathscinet  zmath
1979
11. A. I. Koshelev, A. L. Belopol'skii, A. S. Bondarev, S. A. Ivanov, L. M. Tovkach, “Convergence of certain iteration processes for a nonlinear boundary value problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 10,  47–56  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 23:10 (1979), 47–56
1978
12. A. I. Koshelev, “Regularity of solutions of quasi-linear elliptic systems”, Uspekhi Mat. Nauk, 33:4(202) (1978),  3–49  mathnet  mathscinet  zmath; Russian Math. Surveys, 33:4 (1978), 1–52 5
1977
13. A. I. Koshelev, “On the continuity of solutions of quasi-linear elliptic systems of second order”, Dokl. Akad. Nauk SSSR, 232:4 (1977),  766–769  mathnet  mathscinet  zmath 1
14. A. I. Koshelev, “The continuity of the solutions of second order quasilinear elliptic systems”, Differ. Uravn., 13:7 (1977),  1256–1263  mathnet  mathscinet  zmath 1
15. A. S. Bondarev, A. I. Koshelev, A. L. Merkulov, N. P. Rynkevich, N. A. Smurova, “The numerical realization of an iteration process for quasilinear elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 9,  6–10  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:9 (1977), 3–6 1
1976
16. A. I. Koshelev, “On the smoothness of the solutions of quasi-linear elliptic systems of second order”, Dokl. Akad. Nauk SSSR, 228:4 (1976),  787–789  mathnet  mathscinet  zmath
17. A. I. Košelev, “The smoothness of the solutions of second order quasilinear elliptic systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 6,  45–61  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:6 (1976), 38–52 1
1974
18. A. I. Koshelev, “On the existence of continuous solutions of quasilinear elliptic systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 11,  55–60  mathnet  zmath 1
19. A. I. Koshelev, “The best estimates of the convergence of a certain iteration process”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 5,  138–143  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 18:5 (1974), 114–118 1
20. A. I. Koshelev, “The continuity of the solutions of a system of second order quasilinear elliptic equations with bounded non-linearities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 1,  59–70  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 18:1 (1974), 47–56 1
1973
21. A. I. Koshelev, “On the continuity of the solutions of systems of quasi-linear elliptic equations of second-order with bounded nonlinearities”, Dokl. Akad. Nauk SSSR, 213:4 (1973),  777–779  mathnet  mathscinet  zmath 1
1972
22. A. I. Koshelev, “On strong convergence in the large of an iteration process for ordinary differential equations”, Dokl. Akad. Nauk SSSR, 203:5 (1972),  999–1000  mathnet  mathscinet  zmath
23. A. I. Koshelev, “The convergence in strong norms of a certain iteration process for ordinary differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 4,  78–83  mathnet  mathscinet  zmath
1971
24. A. I. Koshelev, “An inequality for elliptic operators of second order with restricted coefficients”, Dokl. Akad. Nauk SSSR, 199:1 (1971),  17–19  mathnet  mathscinet  zmath
25. A. I. Koshelev, “A certain inequality for second order elliptic operators with bounded coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 12,  75–80  mathnet  mathscinet  zmath
1968
26. A. I. Koshelev, “Certain questions on existence and approximate solution for quasilinear elliptical equations and systems in S. L. Sobolev spaces”, Sibirsk. Mat. Zh., 9:5 (1968),  1173–1181  mathnet  mathscinet  zmath; Siberian Math. J., 9:5 (1968), 875–882 3
1967
27. A. I. Koshelev, “Degenerating quasi-linear elliptic equations and systems”, Dokl. Akad. Nauk SSSR, 172:2 (1967),  275–278  mathnet  mathscinet  zmath 2
1965
28. A. I. Koshelev, “The convergence of an approximate method for degenerate elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1965, no. 3,  98–104  mathnet  mathscinet  zmath 2
1963
29. A. I. Koshelev, “Involution transformations and the method of successive approximations for elliptic equations”, Dokl. Akad. Nauk SSSR, 148:2 (1963),  274–276  mathnet  mathscinet  zmath
1962
30. A. I. Koshelev, “Convergence of the method of successive approximations for quasi-linear elliptic equations”, Dokl. Akad. Nauk SSSR, 142:5 (1962),  1007–1010  mathnet  mathscinet 2
1958
31. A. I. Koshelev, “A priori estimates in $L_p$ and generalized solutions of elliptic equations and systems”, Uspekhi Mat. Nauk, 13:4(82) (1958),  29–88  mathnet  mathscinet  zmath 16
1957
32. A. I. Koshelev, “On the boundedness in $L_p$ of derived solutions of elliptical equations and elliptical systems”, Dokl. Akad. Nauk SSSR, 116:4 (1957),  542–544  mathnet  mathscinet  zmath
33. A. I. Koshelev, “On the differentiability of solutions of elliptical differential equations”, Dokl. Akad. Nauk SSSR, 112:5 (1957),  806–809  mathnet  mathscinet  zmath
34. A. I. Koshelev, “Generalized solutions of elliptic differential equations and their summability in $L_p$”, Uspekhi Mat. Nauk, 12:1(73) (1957),  203  mathnet
1956
35. A. I. Koshelev, “On boundedness of $L_p$ of derivatives of solutions of elliptic differential equations”, Mat. Sb. (N.S.), 38(80):3 (1956),  359–372  mathnet  mathscinet  zmath 3
1953
36. A. I. Koshelev, “Differentiability of solutions of certain problems of potential theory”, Mat. Sb. (N.S.), 32(74):3 (1953),  653–664  mathnet  mathscinet  zmath
1988
37. Yu. K. Dem'yanovich, V. P. Il'in, A. I. Koshelev, O. A. Oleinik, S. L. Sobolev, “Solomon Grigor'evich Mikhlin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 43:4(262) (1988),  239–240  mathnet  mathscinet; Russian Math. Surveys, 43:4 (1988), 249–251  isi
1978
38. L. V. Kantorovich, A. I. Koshelev, O. A. Oleinik, S. L. Sobolev, “Solomon Grigor'evich Mikhlin (on his seventieth birthday)”, Uspekhi Mat. Nauk, 33:2(200) (1978),  213–216  mathnet  mathscinet  zmath; Russian Math. Surveys, 33:2 (1978), 209–213 1
1968
39. V. M. Babich, I. Ya. Bakelman, A. I. Koshelev, V. G. Maz'ya, “Solomon Grigor'evich Mikhlin (on the sixtieth anniversary of his birth).”, Uspekhi Mat. Nauk, 23:4(142) (1968),  269–272  mathnet  mathscinet  zmath
1959
40. A. I. Koshelev, “Letter to the Editors”, Uspekhi Mat. Nauk, 14:3(87) (1959),  235  mathnet  mathscinet  zmath

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