The evolution to localized and front solutions in a non-Lipschitz reaction–diffusion Cauchy problem with trivial initial data
作者： J.C. Meyer , D.J. Needham
DOI: 10.1016/J.JDE.2016.10.027
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摘要: Abstract In this paper, we establish the existence of spatially inhomogeneous classical self-similar solutions to a non-Lipschitz semi-linear parabolic Cauchy problem with trivial initial data. Specifically consider bounded an associated two-dimensional non-autonomous dynamical system, for which, two-parameter family homoclinic connections on origin, and heteroclinic connection between two equilibrium points. Additionally, obtain bounds estimates rate convergence origin.
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