We consider the Cauchy-problem for the following parabolic equation: eginequation* displaystyle u_t = Delta u+ f(u,|x|), endequation* where $x in RR^n$, $n >2$, and $f=f(u,|x|)$ 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.
Bisconti, L., Franca, M. (2018). Stability of ground states for a nonlinear parabolic equation. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 1-26.
Stability of ground states for a nonlinear parabolic equation
Franca, MatteoMembro del Collaboration Group
2018
Abstract
We consider the Cauchy-problem for the following parabolic equation: eginequation* displaystyle u_t = Delta u+ f(u,|x|), endequation* where $x in RR^n$, $n >2$, and $f=f(u,|x|)$ 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.File in questo prodotto:
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