@article{1c37a3c0396c4d4ead653bc8a2733e65,
title = "A deformed wave equation and huygens' principle",
abstract = "We consider a deformed wave equation where the Laplacian operator has been replaced by a differential-difference operator. We prove that this equation does not satisfy Huygens' principle. Our approach is based on the representation theory of the Lie algebra sl(2, R).",
keywords = "Deformed wave equation, Generalized Fourier transform, Huygens' principle, R), Representation of sl(2",
author = "Said, {Salem Ben} and Sara al-Blooshi and Maryam al-Kaabi and Aisha al-Mehrzi and Fatima al-Saeedi",
note = "Funding Information: Funding: This research was funded by United Arab Emirates University (UAEU), SURE Plus 2019 grant # G00003109. Funding Information: Acknowledgments: The authors would like to thankfully acknowledge the financial support awarded by UAEU through the SURE Plus 2019 grant # G00003109. We thank the referees for their valuable comments. Publisher Copyright: {\textcopyright} 2019 by the authors.",
year = "2020",
month = jan,
day = "1",
doi = "10.3390/MATH8010010",
language = "English",
volume = "8",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "1",
}