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math.AP2025
An inverse problem for semilinear elliptic equations with generalized Kerr-type nonlinearities
Pu-Zhao Kow, Rulin Kuan
We study the inverse problem of reconstructing the shape of unknown inclusions in semilinear elliptic equations with nonanalytic nonlinearities, by extending Ikehata's enclosure me…
math.AP2023
The encloure method for semilinear elliptic equations with power type nonlinearities
Rulin Kuan
We employ the enclosure method to reconstruct unknown inclusions within an object that is governed by a semilinear elliptic equation with power-type nonlinearity. Motivated by [16]…
math.AP2017★ 1 cited
Strong unique continuation for two-dimensional anisotropic elliptic systems
Rulin Kuan, Gen Nakamura, Satoshi Sasayama
In this paper, we give the strong unique continuation property for a general two dimensional anisotropic elliptic system with real coefficients in a Gevrey class under the assumpti…