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We consider a deformed wave equation where the Laplacian operator has been replaced by a differential-difference operator.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 language | English |
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Article number | 10 |
Journal | Mathematics |
Volume | 8 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 1 2020 |
Keywords
- Deformed wave equation
- Generalized Fourier transform
- Huygens' principle
- R)
- Representation of sl(2
ASJC Scopus subject areas
- General Mathematics