Upper bounds for the decay rate in a nonlocal \(p\)-Laplacian evolution problem

DOI10.1186/1687-2770-2014-109zbMath1308.35035OpenAlexW2163317417WikidataQ59322252 ScholiaQ59322252MaRDI QIDQ476981

Carlos Esteve, Julio D. Rossi, Angel San Antolin

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-109

zbMATH Keywords

nonlocal diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integral operators (45P05) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations with (p)-Laplacian (35K92) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space
• Hitchhiker's guide to the fractional Sobolev spaces
• Implementing peridynamics within a molecular dynamics code
• Decay estimates for nonlinear nonlocal diffusion problems in the whole space
• Decay estimates for nonlocal problems via energy methods
• Convergence of peridynamics to classical elasticity theory
• Nonlocal heat equations: regularizing effect, decay estimates and Nash inequalities
• The evolution of dispersal
• Reformulation of elasticity theory for discontinuities and long-range forces
• Heteroclinic solutions of a van der Waals model with infinite nonlocal interactions
• Asymptotic behavior for nonlocal diffusion equations
• Fractional decay bounds for nonlocal zero order heat equations
• A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS

This page was built for publication: Upper bounds for the decay rate in a nonlocal \(p\)-Laplacian evolution problem