We consider degenerate Kirchhoff equations with a small parameter in front of the second-order time-derivative. It is well known that these equations admit global soluions when the parameter is small enough, and that these solutions decay with the same rate of solutions of the limit problem (of parabolic type). In this paper we prove decay-error estimates for the difference between a solution of the hyperbolic problem and the solution of the corresponding parabolic problem. Concerning the decay rates, it turns out that the difference decays faster than the two terms separately.
Autori interni: | |
Autori: | Ghisi M; Gobbino M |
Titolo: | Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: Decay-error estimates |
Anno del prodotto: | 2012 |
Digital Object Identifier (DOI): | 10.1016/j.jde.2012.02.019 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.