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20232026
most citedVariable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal

3 citations · 5 across the 12 of their papers we have counts for

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5 papers · 1 filter

math.AP2025

Coupling local and nonlocal total variation flow for image despeckling

Yi Ran, Zhichang Guo, Kehan Shi +4

Nonlocal equations effectively preserve textures but exhibit weak regularization effects in image denoising, whereas local equations offer strong denoising capabilities yet fail to…

math.AP2025

A class of thin-film equations with space-time dependent gradient nonlinearity and its application to image sharpening

Yuhang Li, Zhichang Guo, Fanghui Song +2

We introduce a class of thin-film equations with space-time dependent gradient nonlinearity and apply them to image sharpening. By modifying the potential well method, we overcome…

math.AP2025

On the solutions to variable-order fractional p-Laplacian evolution equation with L^1-data

Sixuan Liu, Gang Dong, Hui Bi +1

This study investigates Dirichlet boundary condition related to a class of nonlinear parabolic problem with nonnegative -data, which has a variable-order fractional -Laplac…

math.AP2024

On a nonlinear nonlocal reaction-diffusion system applied to image restoration

Yuhang Li, Zhichang Guo, Jingfeng Shao +1

This paper deals with a novel nonlinear coupled nonlocal reaction-diffusion system proposed for image restoration, characterized by the advantages of preserving low gray level feat…

math.AP2023★ 3 cited

Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal

Yuhang Li, Zhichang Guo, Jingfeng Shao +2

In this paper, we study a class of fractional -Laplacian diffusion equations with variable orders, proposed as a model for multiplicative noise removal. The existence and unique…