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20142026
most citedMonotonicity-based inversion of the fractional Schrödinger equation I. Positive potentials

46 citations · 259 across the 34 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

math.AP2019

The Calderón problem for a space-time fractional parabolic equation

Ru-Yu Lai, Yi-Hsuan Lin, Angkana Rüland

In this article we study an inverse problem for the space-time fractional parabolic operator with in any space dimension. We uniquely determine the unk…

math.AP2019

Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations

Matti Lassas, Tony Liimatainen, Yi-Hsuan Lin +1

We study various partial data inverse boundary value problems for the semilinear elliptic equation in a domain in by using the higher order linearizati…

math.AP2019★ 1 cited

Reconstruction of unknown cavity by single measurement

Yi-Hsuan Lin, Gen Nakamura, Haibing Wang

In this paper we propose a domain sampling type reconstruction scheme for an inverse boundary value problem to identify an unknown cavity by single measurement on the accessible bo…

math.AP2019

Inverse problems for elliptic equations with power type nonlinearities

Matti Lassas, Tony Liimatainen, Yi-Hsuan Lin +1

We introduce a method for solving Calderón type inverse problems for semilinear equations with power type nonlinearities. The method is based on higher order linearizations, and it…

math.AP2019★ 1 cited

Boundary determination of electromagnetic and Lamé parameters with corrupted data

Pedro Caro, Ru-Yu Lai, Yi-Hsuan Lin +1

We study boundary determination for an inverse problem associated to the time-harmonic Maxwell equations and another associated to the isotropic elasticity system. We identify the…

math.AP2019★ 43 cited

Monotonicity-based inversion of the fractional Schrödinger equation II. General potentials and stability

Bastian Harrach, Yi-Hsuan Lin

In this work, we use monotonicity-based methods for the fractional Schrödinger equation with general potentials in a Lipschitz bounded open set $Ω\subset \mathbb…