Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Inverse problems of determining coefficients of time type in a degenerate parabolic equation. / Kozhanov, A. I.; Abulkayirov, U. U.; Ashurova, G. R.
в: Вестник Карагандинского университета. Серия Математика, Том 106, № 2, 2022, стр. 128-142.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Inverse problems of determining coefficients of time type in a degenerate parabolic equation
AU - Kozhanov, A. I.
AU - Abulkayirov, U. U.
AU - Ashurova, G. R.
N1 - Публикация для корректировки.
PY - 2022
Y1 - 2022
N2 - The paper is devoted to the study of the solvability of inverse coefficient problems for degenerate parabolic equations of the second order. We study both linear inverse problems - the problems of determining an unknown right-hand side (external influence), and nonlinear problems of determining an unknown coefficient of the equation itself. The peculiarity of the studied work is that its unknown coefficients are functions of a time variable only. The work aims to prove the existence and uniqueness of regular solutions to the studied problems (having all the generalized in the sense of S.L. Sobolev derivatives entering the equation).
AB - The paper is devoted to the study of the solvability of inverse coefficient problems for degenerate parabolic equations of the second order. We study both linear inverse problems - the problems of determining an unknown right-hand side (external influence), and nonlinear problems of determining an unknown coefficient of the equation itself. The peculiarity of the studied work is that its unknown coefficients are functions of a time variable only. The work aims to prove the existence and uniqueness of regular solutions to the studied problems (having all the generalized in the sense of S.L. Sobolev derivatives entering the equation).
KW - degenerate parabolic equations
KW - existence
KW - linear inverse problems
KW - non-linear inverse problems
KW - regular solutions
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85147117745&origin=inward&txGid=ebb8dc23e1fc2cd90f503fd91200b889
UR - https://www.mendeley.com/catalogue/001c04e0-e3ab-333e-b164-913bc3f702fc/
U2 - 10.31489/2022M2/128-142
DO - 10.31489/2022M2/128-142
M3 - Article
VL - 106
SP - 128
EP - 142
JO - Вестник Карагандинского университета. Серия Математика
JF - Вестник Карагандинского университета. Серия Математика
SN - 2518-7929
IS - 2
ER -
ID: 55715718