N-barrier maximum principle for degenerate elliptic systems and its application
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Publication:1678223
DOI10.3934/dcds.2018034zbMath1379.35043arXiv1609.00979OpenAlexW2962939518MaRDI QIDQ1678223
Hsiao-Feng Liu, Li-Chang Hung, Chuin Chuan Chen
Publication date: 14 November 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00979
nonlinear diffusion equationsLotka-VolterraShigesada-Kawasaki-Teramoto modelnonexistence of traveling wavessystems of porous medium type
Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Second-order elliptic systems (35J47) Traveling wave solutions (35C07)
Related Items (5)
An \(N\)-barrier maximum principle for autonomous systems of \(n\) species and its application to problems arising from population dynamics ⋮ Estimates of population size for traveling wave solutions of spatially non-local Lotka-Volterra competition system ⋮ An \(N\)-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems ⋮ Nonlinear estimates for traveling wave solutions of reaction diffusion equations ⋮ Discrete N-barrier maximum principle for a lattice dynamical system arising in competition models
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