Long-term analysis of degenerate parabolic equations in ℝ N
Gespeichert in:
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)
Online Zugang:
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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 | ||