Mildly degenerate Kirchhoff equations with weak dissipation: global existence and time decay
| dc.creator | Ghisi, Marina | |
| dc.creator | Gobbino, Massimo | |
| dc.date | 2009-03-16 | |
| dc.date.accessioned | 2026-07-07T12:52:51Z | |
| dc.date.available | 2026-07-07T12:52:51Z | |
| dc.description | We consider the hyperbolic-parabolic singular perturbation problem for a degenerate quasilinear Kirchhoff equation with weak dissipation. This means that the coefficient of the dissipative term tends to zero when t tends to +infinity. We prove that the hyperbolic problem has a unique global solution for suitable values of the parameters. We also prove that the solution decays to zero, as t tends to +infinity, with the same rate of the solution of the limit problem of parabolic type. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0903.2713 | |
| dc.identifier | http://arxiv.org/abs/0903.2713 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223430 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B25; 35B40; 35L70; 35L80 | |
| dc.title | Mildly degenerate Kirchhoff equations with weak dissipation: global existence and time decay | |
| dc.type | text |