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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…