Lp estimates for the wave equation associated to the Grushin operator

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Abstract

We prove that the solution of the wave equation associated to the Grushin operator G = -Δ -|x|2∂t2 is bounded on LP(ℝn+1), with 1 < p < ∞, when|1|2-1|2|<1|n+2.

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Jotsaroop, K., & Thangavelu, S. (2014). Lp estimates for the wave equation associated to the Grushin operator. Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze , 13(3), 775–794. https://doi.org/10.2422/2036-2145.201201_009

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