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An inverse problem for the magnetic Schr\"{o}dinger operator on Riemannian manifolds from partial boundary data. (arXiv:1810.03797v1 [math.AP])
来源于:arXiv
We consider the inverse problem of recovering the magnetic and potential term
of a magnetic Schr\"{o}dinger operator on certain compact Riemannian manifolds
with boundary from partial Dirichlet and Neumann data on suitable subsets of
the boundary. The uniqueness proof relies on proving a suitable Carleman
estimate for functions which vanish only on a part of boundary and constructing
complex geometric optics solutions which vanish on a part of the boundary. 查看全文>>