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math.AP2020★ 2 cited
Inverse problems for nonlinear Maxwell's equations with second harmonic generation
Yernat Assylbekov, Ting Zhou
In the current paper we consider an inverse boundary value problem of electromagnetism with nonlinear Second Harmonic Generation (SHG) process. We show the unique determination of…
math.AP2020★ 9 cited
Partial Data Inverse Problems for Nonlinear Magnetic Schrödinger Equations
Ru-Yu Lai, Ting Zhou
We prove that the knowledge of the Dirichlet-to-Neumann map, measured on a part of the boundary of a bounded domain in , can uniquely determine, in a nonlinea…