Yi-Hsuan Lin

activity

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

collaborators

Showing 2017Show all

5 papers · 1 filter

math.AP2017★ 7 cited

Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators

Xinlin Cao, Yi-Hsuan Lin, Hongyu Liu

Let $A \in Sym (n \times n)$ be an elliptic 2-tensor. Consider the anisotropic fractional Schrödinger operator $L_{A}^{s} + q$ , where $\mathscr{L}_A^s:=(-\nabla\cdot(A(x)\…

math.AP2017★ 46 cited

Monotonicity-based inversion of the fractional Schrödinger equation I. Positive potentials

Bastian Harrach, Yi-Hsuan Lin

We consider the inverse problems of for the fractional Schrödinger equation by using monotonicity formulas. We provide if-and-only-if monotonicity relations between positive bounde…

math.AP2017★ 6 cited

Global uniqueness for the semilinear fractional Schrödinger equation

Ru-Yu Lai, Yi-Hsuan Lin

We study global uniqueness in an inverse problem for the fractional semilinear Schrödinger equation $(- Δ)^{s} u + q (x, u) = 0$ with $s \in (0, 1)$ . We show that an unknown function $q(x,u)…

math.AP2017

The Calderón problem for variable coefficients nonlocal elliptic operators

Tuhin Ghosh, Yi-Hsuan Lin, Jingni Xiao

In this paper, we introduce an inverse problem of a Schrödinger type variable nonlocal elliptic operator $(- \nabla \cdot (A (x) \nabla))^{s} + q)$ , for $0 < s < 1$ . We determine the unknown…

math.AP2017★ 12 cited

Boundary determination of the Lamé moduli for the isotropic elasticity system

Yi-Hsuan Lin, Gen Nakamura

We consider the inverse boundary value problem of determining the Lamé moduli of an isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to…