Long time behavior of solutions for a scalar nonlocal reaction-diffusion equation

DOI10.1007/s00013-011-0248-zzbMath1218.35041OpenAlexW2091827948MaRDI QIDQ543298

Xiao-Liu Wang, Wei-Feng Wo

Publication date: 17 June 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0248-z

zbMATH Keywords

one space dimensionconserved integralSturm comparison principle

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Integro-partial differential equations (35R09)

Related Items (6)

Global existence and asymptotic behavior of solutions to a nonlocal Fisher-KPP type problem ⋮ Global existence and finite time blow-up for a class of thin-film equation ⋮ Boundedness through nonlocal dampening effects in a fully parabolic chemotaxis model with sub and superquadratic growth ⋮ On the Fisher‐KPP model with nonlocal nonlinear sources ⋮ Uniform boundedness and global existence of solutions to a quasilinear diffusion equation with nonlocal Fisher-KPP type reaction term ⋮ A nonlocal reaction diffusion equation and its relation with Fujita exponent

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