On the regularity of the solution to the hyperbolic equation

2024

Full text Open access: Hybrid Metadata (CSL-JSON)
DOI 10.70474/qeyab577
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

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.