On a threshold of codimension for the nagumo equation

DOI10.1080/03605308808820575zbMath0665.35034OpenAlexW2046966680MaRDI QIDQ3816421

Gilberto Flores

Publication date: 1988

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308808820575

zbMATH Keywords

codimensionsmoothnessthresholdNagumo equationcone of positive functionsinitial datumgiant axonconduction of electrical impulsescritical multiplier

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

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Cites Work

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• Global bifurcation of steady-state solutions
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• Nagumo's equation