67 citations · 96 across the 17 of their papers we have counts for
20 papers
Explicit inversion for variable-speed wave equations on bounded domains
Sunghwan Moon, Ihyeok Seo
We study the reconstruction of the initial pressure for the wave model \[ \partial_t^2 p(x,t)=c(x)Δ_{x}p(x,t)\qquad (x,t)\inΩ\times[0,\infty), \] posed on a bounded d…
Reconstruction of the initial data from the trace of the solutions on an infinite time cylinder of damped wave equations
Seongyeon Kim, Sunghwan Moon, Ihyeok Seo
In this paper, we consider two types of damped wave equations: the weakly damped equation and the strongly damped equation. We recover the initial velocity from the trace of the so…
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…
Singular value decomposition of the wave forward operator with radial variable coefficients
Minam Moon, Injo Hur, Sunghwan Moon
Photoacoustic tomography (PAT) is a novel and promising technology in hybrid medical imaging that involves generating acoustic waves in the object of interest by stimulating electr…
Reconstruction of the initial function from the solution of the fractional wave equation measured in two geometric settings
Hyungyeong Jung, Sunghwan Moon
Photoacoustic tomography (PAT) is a novel and rapidly promising technique in the field of medical imaging, based on the generation of acoustic waves inside an object of interest by…
Error estimate for a universal function approximator of ReLU network with a local connection
Jae-Mo Kang, Sunghwan Moon
Neural networks have shown high successful performance in a wide range of tasks, but further studies are needed to improve its performance. We analyze the approximation error of th…