Yi Ran

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20242026

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math.AP2026

Nonlocal-to-local convergence of the $p$ -Biharmonic evolution equation with the Dirichlet boundary condition

Kehan Shi, Yi Ran

This paper studies the nonlocal $p$ -biharmonic evolution equation with the Dirichlet boundary condition that arises in image processing and data analysis. We prove the existence an…

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…

Nonlocal-to-local convergence of the p-Biharmonic evolution equation with the Dirichlet boundary condition

Coupling local and nonlocal total variation flow for image despeckling

Nonlocal-to-local convergence of the $p$ -Biharmonic evolution equation with the Dirichlet boundary condition