5 papers
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…
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…
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…