Spreading and vanishing for the logistic equation with nonlocal diffusion coefficient and free boundary

DOI10.1016/J.JMAA.2021.125276zbMath1466.35377OpenAlexW3159158738MaRDI QIDQ2033146

Lei Wei, Haihua Lu, Cheng Cheng Zhu

Publication date: 14 June 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.2021.125276

zbMATH Keywords

nonlocal diffusionspreading-vanishing dichotomyspreading speed

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59)

Cites Work

• The multiplicity of positive solutions for a class of nonlocal elliptic problem
• Global existence and blowup of a nonlocal problem in space with free boundary
• Long time behavior for solutions of the diffusive logistic equation with advection and free boundary
• Spreading and vanishing in nonlinear diffusion problems with free boundaries
• A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
• The influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficient
• Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary
• Spreading speed and profile for nonlinear Stefan problems in high space dimensions
• The diffusive logistic equation with a free boundary and sign-changing coefficient
• Semi-wave solutions of KPP-Fisher equations with free boundaries in spatially almost periodic media
• Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model
• A diffusive logistic model with a free boundary in time-periodic environment
• The diffusive logistic model with a free boundary in heterogeneous environment
• Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• Some remarks on non local elliptic and parabolic problems

This page was built for publication: Spreading and vanishing for the logistic equation with nonlocal diffusion coefficient and free boundary