Resolvent estimates for the Lamé operator and failure of Carleman estimates

Yehyun Kwon, Sanghyuk Lee, Ihyeok Seo

In this paper, we consider the Lamé operator $-{\Delta }^{\ast }$ and study resolvent estimate, uniform Sobolev estimate, and Carleman estimate for $-{\Delta }^{\ast }$. First, we obtain sharp $L^p$--$L…