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Losev, Alexander Georgievich
Professor
Doctor of physico-mathematical sciences (2000)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 21.07.1959
E-mail:
Website: https://volsu.ru/persons/id/?id=000000332
Keywords: harmonic functions, elliptic partial differential equations, Liouville type theorems, Dirichlet problems.
UDC: 517.95, 517.956, 517.9, 517.958, 519.862.5, 519.863, 517.977.1

Subject:

Partial differential equations on Riemannian manyfolds.
   
Main publications:
  • A. G. Losev and E. A. Mazepa, Bounded solutions of the Schrodinger equation on Riemannian products // Algebra Anal. 13 (2001), Issue 1, 84–110.
  • A. G. Losev, On some Liouville theorems on noncompact Riemannian manifolds // Sib. Mat. Zh. 39 (1998), No 1, 84–90.
  • A. G. Losev, Some Liouville theorems on Riemannian of a special kind // Izv. Vuzov. Matematika (1991), No 12, 15–24.

https://www.mathnet.ru/eng/person19221
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/241596
https://elibrary.ru/author_items.asp?authorid=112814
https://orcid.org/0000-0002-1072-8375
https://www.researchgate.net/profile/Alexander-Losev

Publications in Math-Net.Ru Citations
2022
1. A. G. Losev, E. A. Mazepa, “Asymptotic behavior of solutions of the Dirichlet problem for the Poisson equation on model Riemannian manifolds”, Sib. Èlektron. Mat. Izv., 19:1 (2022),  66–80  mathnet  mathscinet  isi
2021
2. A. G. Losev, V. V. Filatov, “On capacitary characteristics of noncompact Riemannian manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  67–75  mathnet; Russian Math. (Iz. VUZ), 65:3 (2021), 61–67  isi  scopus 1
3. A. G. Losev, V. V. Filatov, “Liouville type theorems for solutions of semilinear equations on non-compact Riemannian manifolds”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:4 (2021),  629–639  mathnet  isi 1
4. A. G. Losev, V. V. Filatov, “Bounded solutions of the stationary Schrödinger equation with finite energy integral on model manifolds”, Mathematical Physics and Computer Simulation, 24:3 (2021),  5–17  mathnet 1
5. M. V. Polyakov, I. E. Popov, A. G. Losev, A. V. Khoperskov, “Application of computer simulation results and machine learning in the analysis of microwave radiothermometry data”, Mathematical Physics and Computer Simulation, 24:2 (2021),  27–37  mathnet 6
2019
6. A. G. Losev, E. A. Mazepa, “On solvability of the boundary value problems for harmonic function on noncompact Riemannian manifolds”, Probl. Anal. Issues Anal., 8(26):3 (2019),  73–82  mathnet  isi  elib 7
7. T. V. Zamechnik, A. G. Losev, A. Yu. Petrenko, “Guided classifier in the diagnosis of breast cancer according to microwave radiothermometry”, Mathematical Physics and Computer Simulation, 22:3 (2019),  53–67  mathnet 6
2018
8. A. G. Losev, E. A. Mazepa, “On solvability of the boundary value problems for the inhomogeneous elliptic equations on noncompact Riemannian manifolds”, Probl. Anal. Issues Anal., 7(25):special issue (2018),  101–112  mathnet  isi  elib 5
2017
9. S. S. Vikharev, A. G. Losev, “Triviality of Bounded Solutions of the Stationary Ginzburg–Landau Equation on Spherically Symmetric Manifolds”, Mat. Zametki, 101:2 (2017),  186–198  mathnet  mathscinet  elib; Math. Notes, 101:2 (2017), 208–218  isi  scopus
10. A. G. Losev, V. V. Lеvshinskiy, “The thermometry data mining in the diagnostics of mammary glands”, UBS, 70 (2017),  113–135  mathnet  elib 3
11. A. G. Losev, V. V. Lеvshinskiy, “Data mining of microwave radiometry data in the diagnosis of breast cancer”, Mathematical Physics and Computer Simulation, 20:5 (2017),  49–62  mathnet 8
12. A. A. Grigor'yan, A. G. Losev, “Dimension of spaces of solutions of the Schrodinger equation on noncompact riemannian manifolds”, Mathematical Physics and Computer Simulation, 20:3 (2017),  34–42  mathnet 5
2016
13. A. G. Losev, A. V. Zenovich, O. A. Bochkarev, V. V. Lеvshinskiy, “Multidimentional thermometric data mining in medical diagnostics”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 5(36),  150–161  mathnet 3
14. A. G. Losev, V. V. Filatov, “The Liouville type theorems for solution of stationary Schrödinger equation with finite Dirichlet integral”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 5(36),  13–23  mathnet 3
2015
15. O. A. Bochkarev, A. V. Zenovich, A. G. Losev, “Regression model for diagnosis of breast pathology according to microwaves radiometry data”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 6(31),  72–82  mathnet 1
16. A. G. Losev, A. V. Khoperskov, A. S. Astakhov, H. M. Suleymanova, “Problems of measurement and modeling of thermal and radiation fields in biological tissues: analysis of microwave thermometry datа”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 6(31),  31–71  mathnet 12
17. V. A. Glazunov, A. V. Zenovich, A. G. Losev, “Genetic algorithms for determination of the highly informative signs of mammary glands deseases”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 5(30),  72–83  mathnet 5
18. A. G. Losev, E. A. Mazepa, H. M. Suleymanova, “On interrelation of some signs of RTM diagnostics of mammary glands diseases”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 4(29),  35–44  mathnet 9
2014
19. A. G. Losev, M. V. Radchik, “Processing method of cost accounting and model of enterprise management”, UBS, 49 (2014),  183–206  mathnet
20. Yu. V. Goncharov, A. G. Losev, A. V. Svetlov, “Harmonic functions on cones of model manifolds”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2014, no. 3(22),  13–22  mathnet
2013
21. A. G. Losev, E. A. Mazepa, “On asymptotic behavior of positive solutions of some quasilinear inequalities on model Riemannian manifolds”, Ufimsk. Mat. Zh., 5:1 (2013),  83–89  mathnet  mathscinet  elib; Ufa Math. J., 5:1 (2013), 83–89  isi 5
2012
22. A. G. Losev, “The Liouville Property on Products of Riemannian Manifolds”, Mat. Zametki, 92:2 (2012),  313–315  mathnet  mathscinet  zmath  elib; Math. Notes, 92:2 (2012), 280–282  isi  elib  scopus
23. D. Vedenyapin, A. G. Losev, “Neural networks in vascular diseases diagnosis”, UBS, 39 (2012),  219–229  mathnet 6
2008
24. A. G. Losev, M. V. Radchik, “On a descriptive optimization model of medium-term planning”, Probl. Upr., 2008, no. 2,  42–47  mathnet 2
2007
25. A. G. Losev, Yu. S. Fedorenko, “Positive Solutions of Quasilinear Elliptic Inequalities on Noncompact Riemannian Manifolds”, Mat. Zametki, 81:6 (2007),  867–878  mathnet  mathscinet  zmath  elib; Math. Notes, 81:6 (2007), 778–787  isi  scopus 9
2006
26. A. G. Losev, E. A. Mazepa, V. Yu. Chebanenko, “On unbounded solutions of the stationary Schrödinger problem on model Riemannian manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 7,  46–56  mathnet  mathscinet; Russian Math. (Iz. VUZ), 50:7 (2006), 43–53 3
2001
27. A. G. Losev, E. A. Mazepa, “Bounded solutions of the Schrödinger equation on Riemannian products”, Algebra i Analiz, 13:1 (2001),  84–110  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:1 (2002), 57–73 25
1999
28. A. G. Losev, E. A. Mazepa, “On the asymptotic behavior of solutions of some elliptic-type equations on noncompact Riemannian manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 6,  41–49  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 43:6 (1999), 39–47 20
29. A. G. Losev, “On the behavior of bounded solutions of the equation $\Delta u-c(x)u=0$ on a Riemannian manifold of a special type”, Mat. Zametki, 65:2 (1999),  215–221  mathnet  mathscinet  zmath; Math. Notes, 65:2 (1999), 175–180  isi
1998
30. A. G. Losev, “Some Liouville theorems on noncompact Riemannian manifolds”, Sibirsk. Mat. Zh., 39:1 (1998),  87–93  mathnet  mathscinet  zmath; Siberian Math. J., 39:1 (1998), 74–80  isi 13
1997
31. A. G. Losev, “The relationship between some Liouville theorems on Riemannian manifolds of a special type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 10,  59–63  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:10 (1997), 56–60 3
1996
32. A. G. Losev, “On the hyperbolicity criterion for noncompact Riemannian manifolds of special type”, Mat. Zametki, 59:4 (1996),  558–564  mathnet  mathscinet  zmath; Math. Notes, 59:4 (1996), 400–404  isi 11
1991
33. A. G. Losev, “Some Liouville theorems on Riemannian manifolds of a special type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 12,  15–24  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:12 (1991), 15–23 18
1986
34. A. G. Losev, “Harmonic functions on manifolds of negative curvature”, Mat. Zametki, 40:6 (1986),  738–742  mathnet  mathscinet  zmath; Math. Notes, 40:6 (1986), 915–917  isi 1
2014
35. F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, A. A. Klyachin, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Uspekhi Mat. Nauk, 69:3(417) (2014),  173–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:3 (2014), 565–568  isi
2009
36. A. G. Losev, Yu. S. Fedorenko, “Letter to the Editor”, Mat. Zametki, 85:3 (2009),  480  mathnet  mathscinet  zmath; Math. Notes, 85:3 (2009), 463  isi  scopus

Presentations in Math-Net.Ru
1. Гармонические потенциалы на некомпактных римановых многообразиях
A. G. Losev
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 30, 2024 15:00   

Organisations
 
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