Attractors for damped hyperbolic equations on arbitrary unbounded domains

Martino Prizzi, Krzysztof P. Rybakowski

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,…