Uniform Sobolev inequalities for second order non-elliptic differential operators

Eunhee Jeong, Yehyun Kwon, Sanghyuk Lee

We study uniform Sobolev inequalities for the second order differential operators $P(D)$ of non-elliptic type. For $d\ge 3$ we prove that the Sobolev type estimate $\|u\|_{L^q(\math…