On the regularity of the solution to the hyperbolic equation

The work studies the regularity of the solution to a hyperbolic equation. It shows how the result of a well-known counter-example can be corrected. Two independent sufficient conditions are given, which are superimposed on the right side of the equation and which, separately, ensure the regularity of the solution to the hyperbolic equation. The cases of homogeneous and heterogeneous initial conditions are considered separately.

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Publication Details

Journal
Kazakh mathematical journal.
Published
2024-09-12
DOI
https://doi.org/10.70474/qeyab577
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
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article

On the regularity of the solution to the hyperbolic equation

Muvasharkhan Jenaliyev
Kazakh mathematical journal.
Differential Equations and Boundary Problems
article

On the regularity of the solution to the hyperbolic equation

Muvasharkhan Jenaliyev
article en

Abstract

The work studies the regularity of the solution to a hyperbolic equation. It shows how the result of a well-known counter-example can be corrected. Two independent sufficient conditions are given, which are superimposed on the right side of the equation and which, separately, ensure the regularity of the solution to the hyperbolic equation. The cases of homogeneous and heterogeneous initial conditions are considered separately.

Kazakh mathematical journal.Vol. 22(1)
Institute of Mathematics and Mathematical Modeling (KZ)
Openalex Percentile: Top 73%
Differential Equations and Boundary Problems
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On the regularity of the solution to the hyperbolic equation — Muvasharkhan Jenaliyev · Kazakh mathematical journal. (2024) | TGRS Research Map | TGRS