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Shananin, Nikolai Alekseevich

Statistics Math-Net.Ru
Total publications: 24
Scientific articles: 24

Number of views:
This page:704
Abstract pages:6318
Full texts:2230
References:812
Shananin, Nikolai Alekseevich
Associate professor
Candidate of physico-mathematical sciences (1974)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 1.10.1946
E-mail:
Keywords: microlocal analysis, wave front, solution regularity, solvability, unique solution continuation.
   
Main publications:
  • Matem. sb. 97:4 (1975) 503–516,
  • Matem. sb. 103:1 (1977) 37–51,
  • Matem. sb. 111 (1980) 465–477,
  • Matem. sb. 119:4 (1982) 548–563,
  • Matem. sb. 180:6 (1987) 750–762,
  • Matem. sb. 191:3 (2000) 113–142,
  • Matem. sb. 197:2 (2006) 137–160.

https://www.mathnet.ru/eng/person8701
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/189323
https://elibrary.ru/author_items.asp?spin=2999-7546

Publications in Math-Net.Ru Citations
2024
1. N. A. Shananin, “To the Continuation of Germs of Solutions”, Mat. Zametki, 115:4 (2024),  619–625  mathnet  mathscinet; Math. Notes, 115:4 (2024), 630–635  scopus
2022
2. N. A. Shananin, “On the Continuation of Solutions of Linear Equations with Analytic Coefficients”, Mat. Zametki, 111:6 (2022),  921–928  mathnet; Math. Notes, 111:6 (2022), 954–960  scopus 1
2021
3. N. A. Shananin, “On the continuation of germs of solutions of second-order equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192 (2021),  150–154  mathnet
2020
4. N. A. Shananin, “Unique Continuation of Solutions of Second-Order Quasi-Elliptic Equations”, Mat. Zametki, 108:2 (2020),  316–320  mathnet  mathscinet  elib; Math. Notes, 108:2 (2020), 302–306  isi  scopus 1
2017
5. N. A. Shananin, “On the Unique Continuation of the Germs of Solutions of First-Order Differential Equations along Curves”, Mat. Zametki, 102:6 (2017),  917–930  mathnet  elib; Math. Notes, 102:6 (2017), 855–866  isi  scopus 1
6. N. A. Shananin, “On the Unique Continuation along Curves of Germs of Solutions to Linear Differential Equations with Constant Coefficients”, Mat. Zametki, 102:1 (2017),  152–157  mathnet  mathscinet  elib; Math. Notes, 102:1 (2017), 128–132  isi  scopus 1
2010
7. N. A. Shananin, “On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations”, Mat. Zametki, 88:6 (2010),  924–934  mathnet  mathscinet; Math. Notes, 88:6 (2010), 879–887  isi  scopus 2
2006
8. N. A. Shananin, “Solubility on compact subsets for differential equations with real principal pencil of symbols”, Mat. Sb., 197:2 (2006),  137–160  mathnet  mathscinet  zmath  elib; Sb. Math., 197:2 (2006), 281–302  isi  elib  scopus
2002
9. N. A. Shananin, “Propagation of the Invariance of Germs of Solutions of Quasilinear Differential Equations with Weighted Derivatives”, Mat. Zametki, 71:1 (2002),  135–143  mathnet  mathscinet  zmath  elib; Math. Notes, 71:1 (2002), 123–130  isi  scopus 3
2000
10. N. A. Shananin, “Partial quasianalyticity of distribution solutions of weakly nonlinear differential equations with weights assigned to derivatives”, Mat. Zametki, 68:4 (2000),  608–619  mathnet  mathscinet  zmath  elib; Math. Notes, 68:4 (2000), 519–527  isi 12
11. N. A. Shananin, “Unique continuation of solutions of differential equations with weighted derivatives”, Mat. Sb., 191:3 (2000),  113–142  mathnet  mathscinet  zmath  elib; Sb. Math., 191:3 (2000), 431–458  isi  scopus 13
1998
12. N. A. Shananin, “Singularities of solutions of the linearized Navier–Stokes system”, Mat. Zametki, 63:4 (1998),  638–640  mathnet  mathscinet  zmath  elib; Math. Notes, 63:4 (1998), 562–564  isi
1996
13. N. A. Shananin, “Regularity of solutions to the Navier–Stokes equations”, Mat. Zametki, 59:5 (1996),  791–796  mathnet  mathscinet  zmath; Math. Notes, 59:5 (1996), 574–578  isi 1
1994
14. N. A. Shananin, “On singularities of solutions of the Schrödinger equation for a free particle”, Mat. Zametki, 55:6 (1994),  116–123  mathnet  mathscinet  zmath; Math. Notes, 55:6 (1994), 626–631  isi 6
1992
15. N. A. Shananin, “Weighing of derivatives”, Mat. Zametki, 51:6 (1992),  115–125  mathnet  mathscinet  zmath; Math. Notes, 51:6 (1992), 604–611  isi
1989
16. N. A. Shananin, “On a class of Fourier integrals”, Mat. Sb., 180:6 (1989),  750–762  mathnet  mathscinet  zmath; Math. USSR-Sb., 67:1 (1990), 195–207  isi 1
1987
17. N. A. Shananin, “On local properties of a certain class of evolution equations in a Hubert space”, Uspekhi Mat. Nauk, 42:2(254) (1987),  251–252  mathnet  mathscinet  zmath; Russian Math. Surveys, 42:2 (1987), 295–296  isi
1983
18. N. A. Shananin, “On the existence of non-smooth solutions”, Uspekhi Mat. Nauk, 38:1(229) (1983),  203–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:1 (1983), 219–220  isi
1982
19. N. A. Shananin, “On local unsolvability and nonhypoellipticity of (pseudo-) differential equations with weighted symbols”, Mat. Sb. (N.S.), 119(161):4(12) (1982),  548–563  mathnet  mathscinet  zmath; Math. USSR-Sb., 47:2 (1984), 541–556 1
1980
20. N. A. Shananin, “On local unsolvability of differential equations with weighted derivatives”, Mat. Sb. (N.S.), 111(153):3 (1980),  465–477  mathnet  mathscinet  zmath; Math. USSR-Sb., 39:3 (1981), 417–428  isi 1
1977
21. N. A. Shananin, “On necessary conditions for the local solvability of equations of quasiprincipal type”, Uspekhi Mat. Nauk, 32:2(194) (1977),  235–236  mathnet  mathscinet  zmath 1
22. V. V. Grushin, N. A. Shananin, “Some theorems on the singularities of solutions of differential equations with weighted principal symbols”, Mat. Sb. (N.S.), 103(145):1(5) (1977),  37–51  mathnet  mathscinet  zmath; Math. USSR-Sb., 32:1 (1977), 32–44  isi 11
1976
23. N. A. Shananin, “An example of a locally unsolvable differential equation of quasiprincipal type with a real-valued weighted principal symbol”, Mat. Zametki, 19:5 (1976),  755–761  mathnet  mathscinet  zmath; Math. Notes, 19:5 (1976), 447–451 1
1975
24. N. A. Shananin, “On local solvability of equations of quasi-principal type”, Mat. Sb. (N.S.), 97(139):4(8) (1975),  503–516  mathnet  mathscinet  zmath; Math. USSR-Sb., 26:4 (1975), 458–470 4

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