16 citations · 62 across the 14 of their papers we have counts for
14 papers
Mesh Density Adaptation for Template-based Shape Reconstruction
Yucheol Jung, Hyomin Kim, Gyeongha Hwang +2
In 3D shape reconstruction based on template mesh deformation, a regularization, such as smoothness energy, is employed to guide the reconstruction into a desirable direction. In t…
Self-supervised learning for a nonlinear inverse problem with forward operator involving an unknown function arising in photoacoustic tomography
Gyeongha Hwang, Gihyeon Jeon, Sunghwan Moon
In this article, we are concerned with a nonlinear inverse problem with a forward operator involving an unknown function. The problem arises in diverse applications and is challeng…
Global well-posedness and scattering of the two dimensional cubic focusing nonlinear Schrödinger system
Xing Cheng, Zihua Guo, Gyeongha Hwang +1
In this article, we prove the global well-posedness and scattering of the cubic focusing infinite coupled nonlinear Schrödinger system on below the threshold in $L_x…
Reconstructing unknown inclusions for the biharmonic equation
Gyeongha Hwang, Manas Kar
Herein, we study an inverse problem for detecting unknown obstacles by the enclosure method using the Dirichlet--to--Neumann map for measurements. We justify the method for an pene…
On the modified scattering of -d Hartree type fractional Schrödinger equations with Coulomb potential
Yonggeun Cho, Gyeongha Hwang, Changhun Yang
In this paper we study 3-d Hartree type fractional Schrödin-ger equations: \begin{equation} i\partial_{t}u-|\nabla|^αu = λ\left(|x|^{-γ} *| u|^{2} \right)u,\;\;1 < α< 2,\;\;0 < γ<…
On the Neumann Problem of Hardy-Sobolev critical equations with the multiple singularities
Masato Hashizume, Chun-Hsiung Hsia, Gyeongha Hwang
Let and be bounded domain. We study the existence of positive solution of \begin{align*} \left\{ \begin{array}{l} -Δu + λu =…