The authors prove Carleman estimates for spaces of negative orders, and use these estimates to problem of determining L^p-potentials. An L^2-1evel continuation results for the SchrSdinger equation are the Schrodinger ...The authors prove Carleman estimates for spaces of negative orders, and use these estimates to problem of determining L^p-potentials. An L^2-1evel continuation results for the SchrSdinger equation are the Schrodinger equation in Sobolev prove the uniqueness in the inverse observability inequality and unique also obtained.展开更多
基金supported by the Japanese Government Scholarship,the National Natural Science Foundation ofChina(No.10801030)the Science Foundation for Young Teachers of Northeast Normal University(No.20080103)+1 种基金the Japan Society for the Promotion of Science(No.15340027)the Grant from the Ministryof Education,Cultures,Sports and Technology of Japan(No.17654019)
文摘The authors prove Carleman estimates for spaces of negative orders, and use these estimates to problem of determining L^p-potentials. An L^2-1evel continuation results for the SchrSdinger equation are the Schrodinger equation in Sobolev prove the uniqueness in the inverse observability inequality and unique also obtained.
基金Supported by the Chinese National Science Foundation for Distinguished Young Scholars(No. 10671153)Research Foundation of Northwest University,China(No.09NW023) respectively