Asymptotic limits for mildly degenerate Kirchhoff equations
Analysis of PDEs
2011-05-27 v1
Abstract
We study the asymptotic behavior of the solutions of the mildly degenerate Kirchhoff equation with a dissipative term. We obtain a new estimate on second-in-time derivative of the solution. Moreover we renormalize the solution in such a way that the renormalization as a no zero limit as t goes to infinity. Finally we calculate explicitly the norm of this limit and we prove that it does not depend on the initial data.
Cite
@article{arxiv.1105.5358,
title = {Asymptotic limits for mildly degenerate Kirchhoff equations},
author = {Ghisi Marina},
journal= {arXiv preprint arXiv:1105.5358},
year = {2011}
}