Lp estimates for the wave equation associated to the Grushin operator

Details Lp estimates for the wave equation associated to the Grushin operator Lp estimates for the wave equation associated to the Grushin operator

2012-02-10

arxiv.org/abs/1202.2271v1

Mathematics

Analysis of PDEs

Scientific paper

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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