Abstract
In this paper, our main aim is to derive \(L^p-L^q\) estimates of the solution \(u_k(x,t)\) (t fixed) of the Cauchy problem for the homogeneous linear wave equation associated to the Dunkl Laplacian \(\Delta _k\),
We extend to the Dunkl setting the estimates given by Strichartz (Trans Am Math Soc 148:461–471, 1970) for the ordinary wave equation.
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Amri, B., Gaidi, M. \(L^p-L^q\) estimates for the solution of the Dunkl wave equation. manuscripta math. 159, 379–396 (2019). https://doi.org/10.1007/s00229-019-01109-w
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DOI: https://doi.org/10.1007/s00229-019-01109-w