caa a22 4500 605461562 CHVBK 20210128100244.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10114-015-4178-8 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4178-8 Long-term analysis of degenerate parabolic equations in ℝ N [Elektronische Daten] [Gao Yue, Cheng Zhong] Longtime behavior of degenerate equations with the nonlinearity of polynomial growth of arbitrary order on the whole space ℝ N is considered. By using ℓ-trajectories methods, we proved that weak solutions generated by degenerate equations possess an (L U 2 (ℝ N ), L loc 2 (ℝ N ))-global attractor. Moreover, the upper bounds of the Kolmogorov ɛ-entropy for such global attractor are also obtained. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Degenerate parabolic equations nationallicence unbounded domains nationallicence locally uniform spaces nationallicence global attractor nationallicence Kolmogorov ɛ -entropy nationallicence Yue Gao Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, P. R. China aut Zhong Cheng Department of Mathematics, Nanjing University, 210093, Nanjing, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/3(2015-03-01), 383-410 1439-8516 31:3<383 2015 31 10114 https://doi.org/10.1007/s10114-015-4178-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4178-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yue Gao Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, P. R. China aut NATIONALLICENCE 700 1- Zhong Cheng Department of Mathematics, Nanjing University, 210093, Nanjing, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/3(2015-03-01), 383-410 1439-8516 31:3<383 2015 31 10114