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20112025
most citedStrong unique continuation for two-dimensional anisotropic elliptic systems

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

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 convex hull of unknown inclusions in semilinear elliptic equations with nonanalytic nonlinearities, by extending Ikehata's enclos…

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…

math.AP2015

The enclosure method for the anisotropic Maxwell system

Rulin Kuan, Yi-Hsuan Lin, Mourad Sini

We develop an enclosure-type reconstruction scheme to identify penetrable and impenetrable obstacles in electromagnetic field with anisotropic medium in \mathbb{R}^{3}. The main di…

math.AP2011

Reconstruction of penetrable inclusions in elastic waves by boundary measurements

Rulin Kuan

We use Ikehata's enclosure method to reconstruct penetrable unknown inclusions in a plane elastic body in time-harmonic waves. Complex geometrical optics solutions with complex pol…