Attractors for damped hyperbolic equations on arbitrary unbounded domains
| dc.creator | Prizzi, Martino | |
| dc.creator | Rybakowski, Krzysztof P. | |
| dc.date | 2006-01-13 | |
| dc.date | 2007-02-12 | |
| dc.date.accessioned | 2026-07-07T07:45:59Z | |
| dc.date.available | 2026-07-07T07:45:59Z | |
| dc.description | We prove existence of global attractors for damped hyperbolic equations of the form $$\aligned \eps u_{tt}+α(x) u_t+β(x)u- \sum_{ij}(a_{ij}(x) u_{x_j})_{x_i}&=f(x,u),\quad x\in Ω, t\in[0,\infty[, u(x,t)&=0,\quad x\in \partial Ω, t\in[,\infty[.\endaligned$$ on an unbounded domain $Ω$, without smoothness assumptions on $β(\cdot)$, $a_{ij}(\cdot)$, $f(\cdot,u)$ and $\partialΩ$, and $f(x,\cdot)$ having critical or subcritical growth. | |
| dc.description | 34 pages; corrected typos | |
| dc.identifier | https://arxiv.org/abs/math/0601319 | |
| dc.identifier | http://arxiv.org/abs/math/0601319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123684 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.subject | 35L70; 35B41 | |
| dc.title | Attractors for damped hyperbolic equations on arbitrary unbounded domains | |
| dc.type | text |