5 papers · 1 filter
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…
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…
On a class of forward-backward reaction-diffusion systems with local and nonlocal coupling for image restoration
Yihui Tong, Wenjie Liu, Zhichang Guo +2
This paper investigates a class of novel nonlinear reaction-diffusion systems that couple forward-backward with fractional diffusion for image restoration, offering the advantage o…
Generalized Young Measure Solutions for a Class of Quasilinear Parabolic Equations with Linear Growth
Jingfeng Shao, Zhichang Guo, Chao Zhang
Using the generalized Young measure theory, we extend the theory of Young measure solutions to a class of quasilinear parabolic equations with linear growth, and introduce the conc…
Existence of weak solutions for a class of non-divergent parabolic equations with variable exponent
Jingfeng Shao, Zhichang Guo, Zhongxiang Zhou
A doubly degenerate parabolic equation in non-divergent form with variable growth is investigated in this paper. In suitable spaces, we prove the existence of weak solutions of the…