Maqola

Determination of a Non-Stationary Adsorption Coefficient Analytical in Part of Spatial Variables

D. K. DurdievInstitute of Mathematics of the Academy of Sciences of Uzbekistan, Bukhara Division, Bukhara, 705018, UzbekistanZhanna D. TotievaNorth-Caucasian Centre for Mathematical Research of the Vladikavkaz Scientific Centre of the RAS, Vladikavkaz, 363110, Russia

Siberian Advances in Mathematicsjournal2023en

ABI

Annotatsiya

The multidimensional adsorption coefficient inverse problem is considered for a second order hyperbolic equation. It is supposed that this coefficient is continuous with respect to the variables $$t, x $$ and analytic in the other spatial variables. For solving this equation, the scale method of Banach spaces of analytic functions is applied. The problem are reduced to a system of nonlinear Volterra integral equations and the local existence, global uniqueness, stability estimates are established.

Mavzular

Numerical methods in inverse problems Differential Equations and Boundary Problems

Identifikatorlar

DOI: 10.1134/s1055134423010017

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