Work

Inverse Problems for a Doubly Degenerate Third-order Differential Equation With Multiple Characteristics

Year: 2026

Type: article

Abstract: The paper is devoted to the investigation of solvability in anisotropic Sobolev spaces for new nonlinear coefficient inverse problems for third-order differential equations with multiple characteristics. The considered equations may possess coefficients that vanish or change sign, which leads to degeneration and to a change in the direction of evolution. For the inverse problems under study, existence and uniqueness theorems for regular solutions are established. Regular solutions are understood as solutions possessing all Sobolev generalized derivatives involved in the corresponding differential equation.

Source: Journal of Mathematics Mechanics and Computer Science

DOI: 10.26577/jmmcs130220265

Authors: Guzel Ashurova, Khanat Kenzhebai, Alexander Kozhanov

Institutions: Al-Farabi Kazakh National University, Institute of Mathematics and Mathematical Modeling, Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7165525009

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