Bisconti, LucaFranca, Matteo2022-02-222022-02-222018-08-10Bisconti, L., & Franca, M. (2018). Stability of ground states for a nonlinear parabolic equation. <i>Electronic Journal of Differential Equations, 2018</i>(151), pp. 1-26.1072-6691https://hdl.handle.net/10877/15400We consider the Cauchy-problem for the parabolic equation ut = ∆u + ƒ(u, |x|), where x ∈ ℝn, n > 2, and ƒ(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.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalWeak asymptotic stabilitySupercritical parabolic equationsGround statesAsymptotic expansionArticle