On the non-autonomous hopf bifurcation problem: Systems with rapidly varying coefficients
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
Andronov, Fast varying coefficients, Hopf bifurcation, Integral manifolds, Non-autonomous bifurcation
Publisher: 'University of Szeged'
DOI identifier: 10.14232/ejqtde.2019.1.56
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