Li, Yongjun; Wei, Jinying; Sun, Jingyun The existence of compact exponential attracting set for dynamical system. (English) Zbl 1184.35069 Int. J. Pure Appl. Math. 56, No. 4, 509-518 (2009). Summary: Using the measure of noncompactness, we obtain the existence of compact exponential attracting set for general dynamical system. Then we give a method for proving the existence of compact exponential attracting set. MSC: 35B41 Attractors 35K57 Reaction-diffusion equations 35B40 Asymptotic behavior of solutions to PDEs 35K58 Semilinear parabolic equations 35K20 Initial-boundary value problems for second-order parabolic equations 35K90 Abstract parabolic equations Keywords:measure of noncompactness PDFBibTeX XMLCite \textit{Y. Li} et al., Int. J. Pure Appl. Math. 56, No. 4, 509--518 (2009; Zbl 1184.35069)