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On the non-autonomous hopf bifurcation problem: Systems with rapidly varying coefficients

By Franca M. and Johnson R.

Abstract

We consider the Cauchy-problem for the parabolic equation $$ u_t = Delta u+ f(u,|x|), $$ where $x in mathbb R^n$, $n >2$, and $f(u,|x|)$ is either critical or supercritical with respect to the Joseph-Lundgren exponent. In particular, we improve and generalize some known results concerning stability and weak asymptotic stability of positive ground states

Topics: Andronov, Fast varying coefficients, Hopf bifurcation, Integral manifolds, Non-autonomous bifurcation
Publisher: 'University of Szeged'
Year: 2019
DOI identifier: 10.14232/ejqtde.2019.1.56
OAI identifier: oai:cris.unibo.it:11585/721074
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