Attractors for reaction-diffusion equations on arbitrary unbounded domains
Keywords
Attractors, reaction-diffusion equations, fractional power spaces, tail-estimatesAbstract
We prove existence of global attractors for parabolic equations of the form $$ \alignedat2 u_t+\beta(x)u- \sum_{ij}\partial_i(a_{ij}(x)\partial_j u)&=f(x,u),&\quad &x\in \Omega,\ t\in[0,\infty[,\\ u(x,t)&=0,&\quad &x\in \partial \Omega,\ t\in[0,\infty[. \endalignedat $$ on an arbitrary unbounded domain $\Omega$ in $\mathbb R^3$, without smoothness assumptions on $a_{ij}(\cdot)$ and $\partial\Omega$.Downloads
Published
2007-12-01
How to Cite
1.
PRIZZI, Martino and RYBAKOWSKI, Krzysztof P. Attractors for reaction-diffusion equations on arbitrary unbounded domains. Topological Methods in Nonlinear Analysis. Online. 1 December 2007. Vol. 30, no. 2, pp. 251 - 277. [Accessed 18 April 2024].
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