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Potapov Mikhail Mikhailovich

Statistics Math-Net.Ru
Total publications: 21
Scientific articles: 21
Cited articles: 11
Citations in Math-Net.Ru: 39
Presentations: 3

Number of views:
This page:836
Abstract pages:1940
Full texts:743
References:341
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http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=196403

Publications in Math-Net.Ru
1. Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation
D. A. Ivanov, M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017),  605–624
2. Numerical solution of the positional boundary control problem for the wave equation with unknown initial data
A. A. Dryazhenkov, M. M. Potapov
Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  138–146
3. Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm
A. A. Dryazhenkov, M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016),  208–223
4. Approximate solution to a time optimal boundary control problem for the wave equation
D. A. Ivanov, M. M. Potapov
Tr. Mat. Inst. Steklova, 291 (2015),  112–127
5. Constructive observability inequalities for weak generalized solutions of the wave equation with elastic restraint
A. A. Dryazhenkov, M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  928–941
6. Problems of two-sided boundary control for the wave equation on subcritical intervals in classes of strong generalized solutions
M. M. Potapov, D. A. Ivanov
Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  192–202
7. Threshold optimization in observability inequality for the wave equation with homogeneous Robin-type boundary condition
M. M. Potapov, A. A. Dryazhenkov
Tr. Mat. Inst. Steklova, 277 (2012),  215–229
8. A more accurate threshold in bilateral control and observation problems for the wave equation
M. M. Potapov
Vychisl. Metody Programm., 8:2 (2007),  147–153
9. Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions
M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007),  1323–1339
10. Approximate solutions to Dirichlet control problems for the wave equation in Sobolev classes and dual observation problems
M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006),  2191–2208
11. Approximate solution to boundary control and observation problems for the equation describing transverse vibrations of a bar
M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 45:6 (2005),  1015–1032
12. On an estimated accuracy of regularization methods in quadratic minimization problems on a half-space
M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004),  255–264
13. Projective sourcewise representability of normal solutions to linear equations on convex sets
I. Krnić, M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001),  1315–1323
14. Strong convergence of difference approximations for problems of boundary control and observation for the wave equation
M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998),  387–397
15. A regularized gradient-projection method in a parabolic optimal control problem
O. Obradovich, M. M. Potapov, A. V. Razgulin
Zh. Vychisl. Mat. Mat. Fiz., 32:8 (1992),  1197–1212
16. Difference methods in problems of the optimal control of the stationary self-action of light beams
M. M. Potapov, A. V. Razgulin
Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1157–1169
17. A gradient procedure for intra-resonator control of light beams
M. A. Vorontsov, N. I. Zheleznykh, M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 30:3 (1990),  449–456
18. Approximation and regularization of problems of parametric minimization
M. M. Potapov, S. A. Nesterov
Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 6,  73–75
19. On a nonlinear hyperbolic optimal control problem
M. M. Potapov, A. V. Razgulin
Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987),  793–794
20. A generalized solution of a mixed problem for a first-order semilinear hyperbolic system
M. M. Potapov
Differ. Uravn., 19:10 (1983),  1826–1828
21. Approximation with respect to a functional of maximin problems with connected variables
M. M. Potapov
Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  610–621

Presentations in Math-Net.Ru
1. Regularized extragradient method in a multicriteria control problem for the wave equation
F. P. Vasil'ev, M. M. Potapov, L. A. Artem'eva
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 2, 2017 16:05
2. Estimates of normal solutions for problems of control and observation and their application to computations
F. P. Vasil'ev, M. M. Potapov
Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin
September 25, 2013 13:10   

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