A deformed wave equation and huygens' principle

Salem Ben Said, Sara al-Blooshi, Maryam al-Kaabi, Aisha al-Mehrzi, Fatima al-Saeedi

Research output: Contribution to journalArticlepeer-review

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We consider a deformed wave equation where the Laplacian operator has been replaced by a differential-difference operator.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).

Original languageEnglish
Article number10
JournalMathematics
Volume8
Issue number1
DOIs
Publication statusPublished - Jan 1 2020

Keywords

  • Deformed wave equation
  • Generalized Fourier transform
  • Huygens' principle
  • R)
  • Representation of sl(2

ASJC Scopus subject areas

  • Mathematics(all)

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