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arXiv · 1202.2271

Lp estimates for the wave equation associated to the Grushin operator

K. Jotsaroop·S. Thangavelu
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Abstract

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 $|1/p- 1/2 | < 1/n+2$ .

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K. Jotsaroop, S. Thangavelu. 2012-02-10. Lp estimates for the wave equation associated to the Grushin operator. https://arxiv.org/abs/1202.2271

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