Long-term analysis of degenerate parabolic equations in ℝ N

Verfasser / Beitragende:
[Gao Yue, Cheng Zhong]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/3(2015-03-01), 383-410
Format:
Artikel (online)
ID: 605461562
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024 7 0 |a 10.1007/s10114-015-4178-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4178-8 
245 0 0 |a Long-term analysis of degenerate parabolic equations in ℝ N  |h [Elektronische Daten]  |c [Gao Yue, Cheng Zhong] 
520 3 |a 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. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Degenerate parabolic equations  |2 nationallicence 
690 7 |a unbounded domains  |2 nationallicence 
690 7 |a locally uniform spaces  |2 nationallicence 
690 7 |a global attractor  |2 nationallicence 
690 7 |a Kolmogorov ɛ -entropy  |2 nationallicence 
700 1 |a Yue  |D Gao  |u Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, P. R. China  |4 aut 
700 1 |a Zhong  |D Cheng  |u Department of Mathematics, Nanjing University, 210093, Nanjing, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/3(2015-03-01), 383-410  |x 1439-8516  |q 31:3<383  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4178-8  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4178-8  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yue  |D Gao  |u Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhong  |D Cheng  |u Department of Mathematics, Nanjing University, 210093, Nanjing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/3(2015-03-01), 383-410  |x 1439-8516  |q 31:3<383  |1 2015  |2 31  |o 10114