L^p estimates for the wave equation associated to the Grushin operator

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Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 13 (3):775-794 (2014)
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Abstract

We prove that the solution of the wave equation associated to the Grushin operator G = -Δ - |x|2δt2 is bounded on Lp(Rn+1_, with 1 < p < ∞ when |1/p - 1/2| < 1/n+2

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10.2422/2036-2145.201201_009

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