Stability of ground states for a nonlinear parabolic equation

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bisconti.pdf (437.34 KB)
Date
2018-08-10
Authors
Bisconti, Luca
Franca, Matteo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Weak asymptotic stability, Supercritical parabolic equations, Ground states, Asymptotic expansion
Citation
Bisconti, 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.
URI
https://hdl.handle.net/10877/15400
Collections
Electronic Journal of Differential Equations