Attractors for reaction-diffusion equations on arbitrary unbounded domains

Details Attractors for reaction-diffusion equations on arbitrary unbounded domains Attractors for reaction-diffusion equations on arbitrary unbounded domains

2007-02-12

arxiv.org/abs/math/0702333v1

Mathematics

Analysis of PDEs

26 pages

Scientific paper

We prove existence of global attractors for parabolic equations of the form
$$u_t+\beta(x)u-\sum_{ij}\partial_i(a_{ij}(x)\partial_j u)=f(x,u)$$ with
Dirichlet boundary condition on an arbitrary unbounded domain $\Omega$ in
$\R^3$, without smoothness assumptions on $a_{ij}(\cdot)$ and $\partial\Omega$.

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