We study the behavior at infinity of the solutions of damped Kirchhoff equation when the nonlinearity is a power. We prove that the renormalized solutions have a non-zero limit and that the norm of this limit does not depend on the initial data. Moreover we obtain a new (optimal) estimate on the second in time derivative of the solution.
Autori interni: | |
Autori: | Ghisi, Marina |
Titolo: | Asymptotic Limits for Mildly Degenerate Kirchhoff Equations |
Anno del prodotto: | 2013 |
Abstract: | We study the behavior at infinity of the solutions of damped Kirchhoff equation when the nonlinearity is a power. We prove that the renormalized solutions have a non-zero limit and that the norm of this limit does not depend on the initial data. Moreover we obtain a new (optimal) estimate on the second in time derivative of the solution. |
Digital Object Identifier (DOI): | 10.1137/110838765 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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