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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. RAN. Ser. Mat., 2018 Volume 82, Issue 1, Pages 17–33 (Mi im8517)
This article is cited in 33 papers

Inverse coefficient problems for a non-linear convection–diffusion–reaction equation

R. V. Brizitskiia, Zh. Yu. Saritskayab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok

Abstract: We consider the inverse coefficient problem for a stationary non-linear convection–diffusion–reaction equation in which the reaction coefficient depends rather arbitrarily on the concentration of the substance and on the spatial variable.

Keywords: non-linear convection–diffusion–reaction equation, inverse coefficient problem, optimality system, stability estimates.

UDC: 517.95

MSC: Primary 35B35; Secondary 35A01, 35A02, 80A20

Received: 02.02.2016
Revised: 14.03.2017

DOI: 10.4213/im8517


 English version: Izvestiya: Mathematics, 2018, 82:1, 14–30

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© Steklov Math. Inst. of RAS, 2025