On two-signed solutions to a second order semi-linear parabolic partial differential equation with non-Lipschitz nonlinearity
作者： V. Clark , J.C. Meyer
DOI: 10.1016/J.JDE.2020.01.007
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摘要: Abstract In this paper, we establish the existence of a 1-parameter family spatially inhomogeneous radially symmetric classical self-similar solutions to Cauchy problem for semi-linear parabolic PDE with non-Lipschitz nonlinearity and trivial initial data. Specifically well-posedness an associated value singular two-dimensional non-autonomous dynamical system nonlinearity. Additionally, that converge algebraically origin oscillate as η → ∞ .
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