A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations

DOI10.1090/S0002-9947-2010-04931-1zbMath1206.35061arXiv1004.0573MaRDI QIDQ3056562

Xing Liang, Xiaotao Lin, Hiroshi Matano

Publication date: 12 November 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0573

zbMATH Keywords

one space dimensiontransition processperiodically arrayed Dirac delta functions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15) Maximum principles in context of PDEs (35B50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Ecology (92D40) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07)

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Cites Work

• Modeling biological invasions into periodically fragmented environments
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• Traveling periodic waves in heterogeneous environments
• Multidimensional nonlinear diffusion arising in population genetics
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• The speed of propagation for KPP type problems. I: Periodic framework
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
• Long-Time Behavior of a Class of Biological Models
• The speed of propagation for KPP type problems. II: General domains
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