Estimate of the travelling wave speed for an integro-differential equation

DOI10.1016/J.AML.2018.07.037zbMath1407.35045OpenAlexW2889494631WikidataQ115360807 ScholiaQ115360807MaRDI QIDQ1726530

Xianqiang Yang

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.07.037

zbMATH Keywords

minimax representationnonlocal interactionnonlocal reaction-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)

Related Items (3)

Cortical stimulation in aphasia following ischemic stroke: toward model-guided electrical neuromodulation ⋮ Speed of wave propagation for a nonlocal reaction–diffusion equation ⋮ Nonlinear analysis of periodic waves in a neural field model

Cites Work

• Spectrum of some integro-differential operators and stability of travelling waves
• Travelling fronts in nonlinear diffusion equations
• Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
• Propagation speed of travelling fronts in non local reaction-diffusion equations
• Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation
• Reaction-diffusion waves of blood coagulation
• Existence, uniqueness and asymptotic stability of traveling wavefronts in a non-local delayed diffusion equation
• Variational Principles for Propagation Speeds in Inhomogeneous Media
• Propagation Velocity Estimation for Condensed Phase Combustion
• Existence and uniqueness of travelling waves for a neural network
• Elliptic Partial Differential Equations

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