Geodesic
On the solvability of the nonlinear inverse problems for ultraparabolic equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1187-1206 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The work is devoted to studying the solvability of nonlinear inverse problems finding together with the decision of an unknown factor.
Mots-clés : ultraparabolic equations, existence
Keywords: inverse problems, regular solutions, a priori estimates, uniqueness. 
@article{SEMR_2016_13_a89,
     author = {Yu. A. Kosheleva},
     title = {On the solvability of the nonlinear inverse problems for ultraparabolic equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1187--1206},
     year = {2016},
     volume = {13},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a89/}
}
TY  - JOUR
AU  - Yu. A. Kosheleva
TI  - On the solvability of the nonlinear inverse problems for ultraparabolic equations
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2016
SP  - 1187
EP  - 1206
VL  - 13
UR  - http://geodesic.mathdoc.fr/item/SEMR_2016_13_a89/
LA  - ru
ID  - SEMR_2016_13_a89
ER  - 
%0 Journal Article
%A Yu. A. Kosheleva
%T On the solvability of the nonlinear inverse problems for ultraparabolic equations
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2016
%P 1187-1206
%V 13
%U http://geodesic.mathdoc.fr/item/SEMR_2016_13_a89/
%G ru
%F SEMR_2016_13_a89
Yu. A. Kosheleva. On the solvability of the nonlinear inverse problems for ultraparabolic equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1187-1206. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a89/

[1] Prilepko A. I., Orlovsky D. C., Vasin I. A., Methods for solving inverse problems in mathematical physics, Dekker, New York, 1999 | MR

[2] Kozhanov A. I., Composite type equations and inverse problems, VSP, Utrecht, 1999 | MR | Zbl

[3] Belov Yu. Ya., Inverse problems for partial differential equations, VSP, Utrecht, 2002, 211 pp. | MR | Zbl

[4] Ivanchov M., Inverse problems for equations of parabolic type, Mathematical studies. Monograph series, 10, 2003 | MR | Zbl

[5] Alekseev G. V., Optimization problems in stationary heat and mass transfer and magnetohydrodynamics, Nauchnyi Mir, M., 2010

[6] Kosheleva Yu. A., “On the solvability of some linear inverse problems for ultraparaboli equations”, Math. notes of YSU, 18:2 (2011), 77–98 | Zbl

[7] Kosheleva Yu. A., “Ultraparaboli equations with unknown right-hand side”, Math. notes of YSU, 19:2 (2012), 73–93 | Zbl

[8] Kozhanov A. I., “Nonlinear loaded equations and inverse problems”, Zh. Vychisl. Mat. Mat. Fiz., 44:4 (2004), 694–716 | MR | Zbl

[9] Kozhanov A. I., “A nonlinear loaded parabolic equation and a related inverse problem”, Mat. Zametki, 76:6 (2004), 840–853 | DOI | MR | Zbl

[10] Kozhanov A. I., “Parabolic equations with an unknown time-dependent coefficient”, Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005), 2168–2184 | MR | Zbl

[11] Sobolev S. L., Some applications of functional analysis in mathematical physics, Nauka, M., 1988 | Zbl

[12] Ladyzhenskaya O. A., Solonnikov V. A., Uralcheva N. N., Linear and kvazilinear equations parabolic type, Nauka, M., 1973