3 papers
math.AP2026
A class of forward-backward regularizations of the Perona-Malik equation with variable exponent
Yihui Tong, Wenjie Liu, Zhichang Guo +1
This paper investigates a novel class of regularizations of the Perona-Malik equation with variable exponents, of forward-backward parabolic type, which possess a variational struc…
math.AP2025
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…
math.AP2024
A class of forward-backward diffusion equations for multiplicative noise removal
Yihui Tong, Wenjie Liu, Zhichang Guo +1
This paper investigates a class of degenerate forward-backward diffusion equations with a nonlinear source term, proposed as a model for removing multiplicative noise in images. Ba…