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math.AP2021★ 10 cited
An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds
Ali Feizmohammadi, Tony Liimatainen, Yi-Hsuan Lin
Given a conformally transversally anisotropic manifold , we consider the semilinear elliptic equation We show that an a priori unk…
math.AP2021
Stability estimates for inverse problems for semi-linear wave equations on Lorentzian manifolds
Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado +1
This paper concerns an inverse boundary value problem of recovering a zeroth order time-dependent term of a semi-linear wave equation on a globally hyperbolic Lorentzian manifold.…
math.AP2021
Counterexamples to inverse problems for the wave equation
Tony Liimatainen, Lauri Oksanen
We construct counterexamples to inverse problems for the wave operator on domains in , , and on Lorentzian manifolds. We show that non-isometric Lorentzi…