By using some deep tools from microlocal analysis,Kenig et al.(2007),Imanuvilov et al.(2010),Dos Santos Ferreira et al.(2009),and Guillarmou and Tzou(2011)have successfully established various Carleman estimates for e...By using some deep tools from microlocal analysis,Kenig et al.(2007),Imanuvilov et al.(2010),Dos Santos Ferreira et al.(2009),and Guillarmou and Tzou(2011)have successfully established various Carleman estimates for elliptic operators that possess the limiting Carleman weight.In this paper,we revisit these problems and present a unified and fundamental approach for deriving these estimates.The main tool we employ is an elementary pointwise estimate for second-order elliptic operators.展开更多
基金supported by National Natural Science Foundation of China(Grant No.12025105)the New Cornerstone Science Foundationthe Science Development Project of Sichuan University(Grant No.2020SCUNL201)。
文摘By using some deep tools from microlocal analysis,Kenig et al.(2007),Imanuvilov et al.(2010),Dos Santos Ferreira et al.(2009),and Guillarmou and Tzou(2011)have successfully established various Carleman estimates for elliptic operators that possess the limiting Carleman weight.In this paper,we revisit these problems and present a unified and fundamental approach for deriving these estimates.The main tool we employ is an elementary pointwise estimate for second-order elliptic operators.
