Well-posedness of an evolution problem with nonlocal diffusion
From MaRDI portal
Publication:1729153
DOI10.1016/j.nonrwa.2018.06.013zbMath1411.35015arXiv1803.07796OpenAlexW2963200170MaRDI QIDQ1729153
Publication date: 27 February 2019
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.07796
Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Convergence of solutions of a rescaled evolution nonlocal cross-diffusion problem to its local diffusion counterpart ⋮ Error analysis of some nonlocal diffusion discretization schemes ⋮ Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces ⋮ Two-species nonlocal cross-diffusion models with free boundaries ⋮ Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels ⋮ On asymptotic behavior for a class of diffusion equations involving the fractional \(\wp (\cdot)\)-Laplacian as \(\wp (\cdot)\) goes to \(\infty\) ⋮ Image denoising by nonlinear nonlocal diffusion equations ⋮ On a class of nonlocal evolution equations with the \(p[\nabla u\)-Laplace operator] ⋮ Well-Posedness of a Cross-Diffusion Population Model with Nonlocal Diffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Reaction-diffusion systems with \(p(x)\)-growth for image denoising
- Neighborhood filters and PDE's
- On a fast bilateral filtering formulation using functional rearrangements
- Digital picture processing. An introduction. Transl. from the Russian
- A variable exponent nonlocal \(p(x)\)-Laplacian equation for image restoration
- Well-posedness of a nonlinear integro-differential problem and its rearranged formulation
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Deblurring and Denoising of Images by Nonlocal Functionals
- A Review of Image Denoising Algorithms, with a New One