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math.AP2013
The inverse Robin boundary value problem in a half-space
Lassi Päivärinta, Miren Zubeldia
We study the inverse Robin problem for the Schrödinger equation in a half-space. The potential is assumed to be compactly supported. We first solve the direct problem for dimension…
math.AP2013★ 9 cited
Nonlinear Fourier analysis for discontinuous conductivities: computational results
Kari Astala, Lassi Päivärinta, Juan Manuel Reyes +1
Two reconstruction methods of Electrical Impedance Tomography (EIT) are numerically compared for nonsmooth conductivities in the plane based on the use of complex geometrical optic…
math.SP2013★ 14 cited
Completeness of generalized transmission eigenstates
Eemeli Blåsten, Lassi Päivärinta
We prove the completeness of the generalized (interior) transmission eigenstates for the acoustic and Schrödinger equations. The method uses the ellipticity theory of Agranovich an…