Lower bounds for some nonlocal dispersal equations

DOI10.1016/j.jmaa.2020.124781zbMath1459.35369OpenAlexW3102119649MaRDI QIDQ1996519

Jian-Wen Sun

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124781

zbMATH Keywords

nonlocal diffusion equationlower bound for positive solutions

Mathematics Subject Classification ID

Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A nonlocal dispersal logistic equation with spatial degeneracy
• On the definition and the properties of the principal eigenvalue of some nonlocal operators
• Boundary fluxes for nonlocal diffusion
• Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
• Geometric theory of semilinear parabolic equations
• Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
• Bifurcation and stability of stationary solutions of nonlocal scalar reaction-diffusion equations
• Traveling waves in a convolution model for phase transitions
• Mathematical biology. Vol. 1: An introduction.
• The evolution of dispersal
• Entire solutions for nonlocal dispersal equations with bistable nonlinearity: asymmetric case
• Forced waves and gap formations for a Lotka-Volterra competition model with nonlocal dispersal and shifting habitats
• Random dispersal vs. non-local dispersal
• Sharp profiles for periodic logistic equation with nonlocal dispersal
• The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
• A nonlocal dispersal equation arising from a selection-migration model in genetics
• Asymptotic behavior for nonlocal diffusion equations
• Linear Second Order Elliptic Operators