Abstract
We derive a uniqueness proof of inclusions of different {analytic} conductivities in the equation div{a grad u} = 0 in Ω under the minimal assumptions: (i) the boundaries of inclusions are only Lipschitz and (ii) we have no topological assumptions. For any Dirichlet data g, we are given the Neumann data h; in other words, results of all possible boundary measurements are known. For this purpose, we use and modify the construction of singular solution of elliptic equations due to Alessandrini [1].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
