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Attractors for reaction-diffusion equations on arbitrary unbounded domains

M. Prizzi·K. P. Rybakowski
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Abstract

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

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M. Prizzi, K. P. Rybakowski. 2007-02-12. Attractors for reaction-diffusion equations on arbitrary unbounded domains. https://arxiv.org/abs/math/0702333

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