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Lychagin, Valentin Vasil'evich

Statistics Math-Net.Ru
Total publications: 39
Scientific articles: 38
Presentations: 16

Number of views:
This page:3013
Abstract pages:16915
Full texts:7234
References:1032
Professor
Doctor of physico-mathematical sciences (1990)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 1.04.1947
E-mail: ,
Website: http://vm.mstuca1.ru/sotr/lychag.htm
Keywords: differntial equations.
   
Main publications:
  • Local classification of nonlinear partial differential equations of the first order // Uspeshi Mat. Nauk, 1975, 30, 1, 101–171.
  • Contact geometry and nonlinear partial differential equations of the second order // Uspeshi Math.Nauk, 1979, 34, 1, 137–165.
  • Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields // Proc. of Acad. Sci. USSR, 1987, 51, 3, 484–511.
  • Braided differential operators and quantizations in ABC-categories // Competes Rendus Acad. Sci. Paris, Ser. 1, 1994, 318, 857–862.
  • Homogeneous geometric structures and homogeneous differential equations // AMS Translations, Advances in Math. Sci., Ser. 2, 1995, 167, 143–164.

https://www.mathnet.ru/eng/person17674
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197621
https://elibrary.ru/author_items.asp?authorid=760534
ISTINA https://istina.msu.ru/workers/571447
https://www.researchgate.net/profile/Valentin-Lychagin

Publications in Math-Net.Ru Citations
2020
1. A. G. Kushner, V. V. Lychagin, M. Roop, “Contact geometry in optimal control of thermodynamic processes for gases”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  99–103  mathnet  zmath  elib; Dokl. Math., 102:1 (2020), 346–349 1
2018
2. A. V. Akhmetzianov, A. G. Kushner, V. V. Lychagin, “Optimal management of oil field development in the Buckley–Leverett model”, Avtomat. i Telemekh., 2018, no. 4,  75–91  mathnet  elib; Autom. Remote Control, 79:4 (2018), 641–654  isi  scopus
2013
3. A. V. Akhmetzyanov, A. G. Kushner, V. V. Lychagin, “Geometric theory of special modes in the distributed-parameter control systems. I”, Avtomat. i Telemekh., 2013, no. 11,  20–38  mathnet; Autom. Remote Control, 74:11 (2013), 1786–1801  isi  scopus 6
4. A. G. Kushner, V. V. Lychagin, “Petrov invariants of Hamiltonian systems with a control parameter”, Avtomat. i Telemekh., 2013, no. 3,  83–102  mathnet  zmath; Autom. Remote Control, 74:3 (2013), 385–400  isi  scopus 6
2009
5. N. G. Konovenko, V. V. Lychagin, “On Metric Equivalence of Functions on the Lobachevski Plane”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  54–59  mathnet
2007
6. V. V. Goldberg, V. V. Lychagin, “Abelian equations and rank problems for planar webs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 10,  40–75  mathnet  mathscinet; Russian Math. (Iz. VUZ), 51:10 (2007), 39–75 3
2006
7. P. K. Jakobsen, V. V. Lychagin, “Maximum Entropy Wave functions”, Lobachevskii J. Math., 23 (2006),  29–56  mathnet  mathscinet  zmath
2005
8. P. K. Jakobsen, V. V. Lychagin, “Universal semigroups”, Lobachevskii J. Math., 18 (2005),  107–125  mathnet  mathscinet  zmath
9. P. K. Jakobsen, V. V. Lychagin, “Quantizations in a category of relations”, Lobachevskii J. Math., 17 (2005),  61–148  mathnet  mathscinet  zmath
2004
10. B. S. Kruglikov, V. V. Lychagin, “Transitive and transversal actions of pseudogroups on submanifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 11,  30–44  mathnet  mathscinet; Russian Math. (Iz. VUZ), 48:11 (2004), 27–40 1
11. P. K. Jakobsen, V. V. Lychagin, “Operator valued probability theory”, Lobachevskii J. Math., 16 (2004),  17–56  mathnet  mathscinet  zmath 1
1995
12. L. V. Zilbergleĭt, V. V. Lychagin, “Realization of spinors in Minkowski space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 5,  29–38  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:5 (1995), 26–34
1994
13. L. V. Zilbergleit, V. V. Lychagin, “Spencer cohomologies and symmetries”, Mat. Zametki, 56:4 (1994),  79–94  mathnet  mathscinet  zmath; Math. Notes, 56:4 (1994), 1043–1054  isi
1993
14. L. V. Zilbergleit, V. V. Lychagin, “Spencer cohomology of invariant systems of differential equations on homogeneous spaces”, Dokl. Akad. Nauk, 328:5 (1993),  544–546  mathnet  mathscinet  zmath; Dokl. Math., 47:1 (1993), 122–125
1992
15. V. V. Lychagin, “Differential equations on two-dimensional manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 5,  43–57  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:5 (1992), 38–51 2
16. L. V. Zilbergleit, V. V. Lychagin, “Connections and singularities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 5,  25–35  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:5 (1992), 21–30
17. D. I. Gurevich, V. V. Lychagin, V. N. Rubtsov, “Nonholonomic filtration of cohomologies of Lie algebras and “large brackets””, Mat. Zametki, 52:1 (1992),  36–41  mathnet  mathscinet  zmath; Math. Notes, 52:1 (1992), 657–661  isi
18. V. V. Lychagin, “Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations”, Mat. Zametki, 51:4 (1992),  54–68  mathnet  mathscinet  zmath; Math. Notes, 51:4 (1992), 363–373  isi 1
1991
19. V. V. Lychagin, “Solvability of Fuchsian equations depending on a parameter”, Mat. Zametki, 50:6 (1991),  71–84  mathnet  mathscinet  zmath; Math. Notes, 50:6 (1991), 1263–1273  isi
1990
20. L. V. Zilbergleit, V. V. Lychagin, “Spectral sequences of stable Spencer cohomology of systems of differential equations over characteristic fiber bundles”, Dokl. Akad. Nauk SSSR, 310:5 (1990),  1039–1042  mathnet  mathscinet  zmath; Dokl. Math., 41:1 (1990), 148–151
1989
21. V. V. Lychagin, “Classification of the intransitive actions of Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 5,  18–26  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:5 (1989), 25–38
22. V. V. Lychagin, V. N. Rubtsov, “Topological indices of spencer complexes associated with geometric structures”, Mat. Zametki, 45:4 (1989),  59–68  mathnet  mathscinet  zmath; Math. Notes, 45:4 (1989), 305–312  isi
1988
23. D. V. Alekseevskii, A. M. Vinogradov, V. V. Lychagin, “Basic ideas and concepts of differential geometry”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 28 (1988),  5–289  mathnet  mathscinet  zmath 37
24. V. V. Lychagin, “Geometric theory of singularities of solutions of nonlinear differential equations”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 20 (1988),  207–247  mathnet  mathscinet; J. Soviet Math., 51:6 (1990), 2735–2757 13
1987
25. V. V. Lychagin, “Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields”, Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  584–612  mathnet  mathscinet  zmath; Math. USSR-Izv., 30:3 (1988), 549–575 4
1985
26. V. V. Lychagin, “Differential operators on fiber spaces”, Uspekhi Mat. Nauk, 40:2(242) (1985),  187–188  mathnet  mathscinet  zmath; Russian Math. Surveys, 40:2 (1985), 221–222  isi 3
27. V. V. Lychagin, B. Yu. Sternin, “On the microlocal structure of pseudodifferential operators”, Mat. Sb. (N.S.), 128(170):4(12) (1985),  516–529  mathnet  mathscinet  zmath; Math. USSR-Sb., 56:2 (1987), 515–527 4
1983
28. V. V. Lychagin, V. N. Rubtsov, “Local classification of Monge–Ampère differential equations”, Dokl. Akad. Nauk SSSR, 272:1 (1983),  34–38  mathnet  mathscinet  zmath 1
29. V. V. Lychagin, “Characteristic classes of solutions of differential equations”, Dokl. Akad. Nauk SSSR, 271:6 (1983),  1320–1324  mathnet  mathscinet  zmath 1
30. V. V. Lychagin, “Spectral sequences and normal forms of Lie algebras of vector fields”, Uspekhi Mat. Nauk, 38:5(233) (1983),  199–200  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:5 (1983), 152–153  isi 3
1982
31. V. V. Lychagin, “The geometry and topology of shock waves”, Dokl. Akad. Nauk SSSR, 264:3 (1982),  551–555  mathnet  mathscinet  zmath 3
1981
32. V. V. Lychagin, “Geometric singularities of solutions of nonlinear differential equations”, Dokl. Akad. Nauk SSSR, 261:6 (1981),  1299–1303  mathnet  mathscinet  zmath
1980
33. V. V. Lychagin, “On the singularities of solutions of differential equations”, Dokl. Akad. Nauk SSSR, 251:4 (1980),  794–799  mathnet  mathscinet  zmath 2
1979
34. V. V. Lychagin, “Contact geometry and non-linear second-order differential equations”, Uspekhi Mat. Nauk, 34:1(205) (1979),  137–165  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:1 (1979), 149–180 65
1978
35. V. V. Lychagin, “Nonlinear differential equations and contact geometry”, Dokl. Akad. Nauk SSSR, 238:2 (1978),  273–276  mathnet  mathscinet  zmath 4
1977
36. V. V. Lychagin, “On sufficient orbits of a group of contact diffeomorphisms”, Mat. Sb. (N.S.), 104(146):2(10) (1977),  248–270  mathnet  mathscinet  zmath; Math. USSR-Sb., 33:2 (1977), 223–242  isi 24
1975
37. V. V. Lychagin, “Lokal classification of non-lineral first order partial differential equations”, Uspekhi Mat. Nauk, 30:1(181) (1975),  101–171  mathnet  mathscinet  zmath; Russian Math. Surveys, 30:1 (1975), 105–175 50
1973
38. V. V. Lychagin, “Local classification of first-order nonlinear partial differential equations”, Dokl. Akad. Nauk SSSR, 210:3 (1973),  525–528  mathnet  mathscinet  zmath

2020
39. A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020),  185–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 75:2 (2020), 369–375  isi

Presentations in Math-Net.Ru
1. On a structure of the first order differential operators
V. V. Lychagin
Cohomological geometry of differential equations
September 11, 2024 19:20   
2. On flows and filtration in the presence of thermodynamic processes: generalized Navier-Stokes equations
V. V. Lychagin
Cohomological geometry of differential equations
February 14, 2024 19:20   
3. On normal forms of quasilinear differential operators
V. V. Lychagin
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 5, 2023 10:40   
4. Rational differential invariants of actions of Lie pseudogroups
V. V. Lychagin
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 8, 2023 16:45
5. On equivalence of planar webs
V. V. Lychagin
Cohomological geometry of differential equations
September 13, 2023 19:20   
6. On invariants and equivalence differential operators under algebraic Lie pseudogroups actions
V. V. Lychagin
Cohomological geometry of differential equations
February 15, 2023 19:20   
7. On normal forms of differential operators
V. V. Lychagin
Cohomological geometry of differential equations
December 7, 2022 19:20   
8. On interplay between jet and information geometries
V. V. Lychagin
Cohomological geometry of differential equations
October 12, 2022 19:20   
9. Natural invariants and classification of quasilinear second-order differential operators
V. V. Lychagin
Cohomological geometry of differential equations
April 13, 2022 19:20   
10. Continuum mechanics of media with inner structures
V. V. Lychagin
Dobrushin Mathematics Laboratory Seminar
November 9, 2021 16:00
11. On metric invariants of spherical harmonics
V. V. Lychagin
Cohomological geometry of differential equations
September 22, 2021 19:20   
12. On dynamics of molecular media and generalization of Navier-Stokes equations
V. V. Lychagin
Cohomological geometry of differential equations
April 7, 2021 19:20   
13. Differential equations, their symmetries, invariants and quotients
V. V. Lychagin
Cohomological geometry of differential equations
November 25, 2020 19:20   
14. On structure of linear differential operators of the first order
V. V. Lychagin
Cohomological geometry of differential equations
May 4, 2020 15:00
15. On equivalence of linear differential operators, acting in line bundles
V. V. Lychagin
Cohomological geometry of differential equations
September 25, 2019 19:20
16. On filtration of gas in porous media
V. V. Lychagin
Cohomological geometry of differential equations
September 19, 2018 19:20

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