90 citations · 201 across the 12 of their papers we have counts for
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math.NA2012★ 9 cited
A convergence analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints
Maarten V. de Hoop, Lingyun Qiu, Otmar Scherzer
We consider nonlinear inverse problems described by operator equations in Banach spaces. Assuming conditional stability of the inverse problem, that is, assuming that stability hol…
math.AP2012★ 1 cited
Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu
In this paper we study the inverse boundary value problem of determining the potential in the Schrödinger equation from the knowledge of the Dirichlet-to-Neumann map, which is comm…