Article

Conditional stability and regularizations of an initial-boundary value problem for a system of parabolic type equations with two degeneration lines

K. O.National University of Uzbekistan, 4 University Street, Tashkent 100174, UzbekistanY. K. KhudayberganovNational University of Uzbekistan, 4 University Street, Tashkent 100174, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In this work, an ill-posed initial-boundary value problem for a system of parabolic type equations with two degeneration lines is considered, the eigenvalues of the problem and their corresponding eigenfunctions are found, an a priori estimate for the solution of the problem is obtained, in addition, theorems about the uniqueness and conditional stability of the solution of the problem are proved in the set of correctness and an approximate solution is constructed in the appropriate functional space.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Numerical methods in inverse problems

Identifiers

DOI: 10.1063/5.0214778

Citations and references

Cited by 1 5 references

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