Mots-clés : parabolic equations
@article{VNGU_2017_17_1_a0,
author = {Yu. E. Anikonov and N. B. Ayupova},
title = {Ray expansions and identities for the second order equations with applications to inverse problems},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {3--16},
year = {2017},
volume = {17},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2017_17_1_a0/}
}
TY - JOUR AU - Yu. E. Anikonov AU - N. B. Ayupova TI - Ray expansions and identities for the second order equations with applications to inverse problems JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2017 SP - 3 EP - 16 VL - 17 IS - 1 UR - http://geodesic.mathdoc.fr/item/VNGU_2017_17_1_a0/ LA - ru ID - VNGU_2017_17_1_a0 ER -
%0 Journal Article %A Yu. E. Anikonov %A N. B. Ayupova %T Ray expansions and identities for the second order equations with applications to inverse problems %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2017 %P 3-16 %V 17 %N 1 %U http://geodesic.mathdoc.fr/item/VNGU_2017_17_1_a0/ %G ru %F VNGU_2017_17_1_a0
Yu. E. Anikonov; N. B. Ayupova. Ray expansions and identities for the second order equations with applications to inverse problems. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 1, pp. 3-16. http://geodesic.mathdoc.fr/item/VNGU_2017_17_1_a0/
[1] Yu. E. Anikonov, “Constructive methods of studying the inverse problems for evolution equations”, J. Appl. Indust. Math., 3:3 (2009), 301–317 | DOI | MR | MR | Zbl
[2] Yu. E. Anikonov, M. V. Neshchadim, On analytical methods in the theory of inverse problems of mathematical physics, Preprint No 234, IM SO AN USSR, Novosibirsk, 2009 (in Russian) | MR
[3] Yu. E. Anikonov, M. V. Neshchadim, “On analytical methods in the theory of inverse problems for hyperbolic equations. I”, J. Appl. Indust. Math., 5:4 (2011), 506–518 | DOI | MR | MR | Zbl
[4] Yu. E. Anikonov, M. V. Neshchadim, “On analytical methods in the theory of inverse problems for hyperbolic equations. II”, J. Appl. Indust. Math., 6:1 (2012), 6–11 | DOI | MR | Zbl
[5] Yu. E. Anikonov, M. V. Neshchadim, “Analytical methods of the theory of inverse problems for parabolic equations”, J. Math. Sci., 195:6 (2013), 754–770 | DOI | MR
[6] Yu. E. Anikonov, “Representations of solutions to functional and evolution equations and identification problems”, Siberian Electronic Mathematical Reports, 10 (2013), 591–614 | MR | Zbl
[7] Yu. E. Anikonov, “Differential identities for partial differential equations”, Sib. Zh. Ind. Mat., 17:2 (2014), 11–17 (in Russian)
[8] Yu. E. Anikonov, N. B. Ayupova, “The Hopf-Cole transformation and multidimensional representation of solutions to evolution equations”, J. Appl. Indust. Math., 9:1 (2015), 11–17 | DOI | MR | Zbl
[9] Yu. E. Anikonov, M. V. Neshchadim, “Differential identities for nonlinear partial differential equations”, J. Math. Sci., 215:6 (2016), 436–443 | DOI | MR | MR | Zbl
[10] Yu. E. Anikonov, M. V. Neshchadim, “The method of differential constraints and nonlinear inverse problems”, J. Appl. Indust. Math., 9:3 (2015), 317–327 | DOI | MR | Zbl
[11] Yu. E. Anikonov, M. V. Neshchadim, “Algebraic-analytic methods for constructing solutions to differential equations and inverse problems”, J. Math. Sci., 215:6 (2016), 444–459 | DOI | MR | MR | Zbl
[12] Yu. E. Anikonov, N. B. Ayupova, V. G. Bardakov, V. P. Golubyatnikov, “Inversion of mapping and inverse problems”, Siberian Electronic Mathematical Reports, 9 (2012), 382–432 (in Russian) | MR | Zbl
[13] V. S. Vladimirov, Equations of Mathematical Physics, Mir Publishers, M., 1983 (in Russian) | MR
[14] V. M. Babich, V. S. Buldyrev, Asymptotic Methods in Short Wave Diffraction Problems, Nauka, M., 1972 (in Russian) | MR
[15] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya, Nauka, M., 1979 ; B. A. Dubrovin, A. T. Fomenko, S. P. Novikov, Modern Geometry. Methods and Applications, v. 1, Graduate Texts in Mathematics, 93, Springer–Verlag, 1984 ; Modern Geometry. Methods and Applications, v. 2, Graduate Texts in Mathematics, 104, Springer–Verlag, 1985 ; Modern Geometry. Methods and Applications, v. 3, Graduate Texts in Mathematics, 124, Springer–Verlag, 1990 | MR | DOI | MR | Zbl | DOI | Zbl | DOI | Zbl