Partial data inverse problems for the Hodge Laplacian
Partial data inverse problems for the Hodge Laplacian
We prove uniqueness results for a Calderón type inverse problem for the Hodge Laplacian acting on graded forms on certain manifolds in three dimensions.In particular, we show that partial measurements of the relative-to-absolute or absolute-to-relative boundary value maps uniquely determine a zeroth order potential.The method is based on Carleman estimates …