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.
Asymptotic Limits for Mildly Degenerate Kirchhoff Equations
GHISI, MARINA
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.File in questo prodotto:
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