Lp estimates for the wave equation associated to the Grushin operator

K. Jotsaroop, S. Thangavelu

We prove that the solution of the wave equation as- sociated to the Grushin operator $G=-\Delta +|x{|}^2{\partial }_t^2$ is bounded on $L^p(R^{n+1})(1<p<\infty )$, when $|1/p- 1/2 |…