Nonlocal diffusion equations in Carnot groups

DOI10.1007/s12215-022-00780-5zbMath1516.35435arXiv1812.06911OpenAlexW2904279813MaRDI QIDQ6159174

Raúl Emilio Vidal, Isolda E. Cardoso

Publication date: 1 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06911

zbMATH Keywords

Dirichlet problemTaylor expansionCarnot groupsnonlocal diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Theoretical approximation of solutions to integral equations (45L05) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Cites Work

• Unnamed Item
• Nonlocal diffusion problems that approximate a parabolic equation with spatial dependence
• Approximate the Fokker-Planck equation by a class of nonlocal dispersal problems
• Spatial effects in discrete generation population models
• An integro-differential equation arising as a limit of individual cell-based models
• Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
• A non-local model for a swarm
• Nonlocal heat equations in the Heisenberg group
• Schauder estimates at the boundary for sub-Laplacians in Carnot groups
• Compactness methods for \(\gamma ^{1,\alpha }\) boundary Schauder estimates in Carnot groups
• Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels
• Hypoelliptic second order differential equations
• Asymptotic behavior for nonlocal diffusion equations
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Deblurring and Denoising of Images by Nonlocal Functionals