论文信息 - Global attractors in Orlicz spaces for reaction-diffusion equations

Global attractors in Orlicz spaces for reaction-diffusion equations

Abstract In this paper, we investigate the existence of global attractors in Orlicz spaces for reaction–diffusion equations without upper growth restriction on nonlinearity. Firstly, we prove the well-posedness of solutions for the equations in an Orlicz space. Secondly, the existence of ( L 2 ( Ω ) , L ∞ ( Ω ) ) -bounded absorbing sets is established. Finally, we obtain the existence of global attractors in any given Orlicz space by proving the asymptotically compactness of { S ( t ) } t ≥ 0 generated by the equations.

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