REMOVABLE SETS FOR THE WAVE EQUATIONS IN TERMS OF HAUSDORFF MEASURE

We prove a Radó theorem for the wave equations. Namely, we consider to be a locally Lipschitz continuous function on an open set and weakly solution to the wave equations away from the zero set in . We prove that is a weak solution to these wave equations in all of .

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Publication Details

Journal
International Journal of Numerical Methods and Applications
Published
2024-12-18
DOI
https://doi.org/10.17654/0975045225004
Primary Topic
Image and Signal Denoising Methods
Type
article
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article

REMOVABLE SETS FOR THE WAVE EQUATIONS IN TERMS OF HAUSDORFF MEASURE

Idrissa Ly
International Journal of Numerical Methods and Applications
Image and Signal Denoising Methods
article

REMOVABLE SETS FOR THE WAVE EQUATIONS IN TERMS OF HAUSDORFF MEASURE

Idrissa Ly
article en

Abstract

We prove a Radó theorem for the wave equations. Namely, we consider to be a locally Lipschitz continuous function on an open set and weakly solution to the wave equations away from the zero set in . We prove that is a weak solution to these wave equations in all of .

International Journal of Numerical Methods and ApplicationsVol. 25(1)
Openalex Percentile: Top 77%
Image and Signal Denoising Methods
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REMOVABLE SETS FOR THE WAVE EQUATIONS IN TERMS OF HAUSDORFF MEASURE — Idrissa Ly · International Journal of Numerical Methods and Applications (2024) | TGRS Research Map | TGRS