|
|
| |
| ON THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CLASS OF INFINITE DIMENSIONAL DISSIPATIVE NONLINEAR DYNAMICAL SYSTEMS |
| |
Citation： |
ZHONG Chengkui,SUN Chunyou,NIU Mingfei.ON THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CLASS OF INFINITE DIMENSIONAL DISSIPATIVE NONLINEAR DYNAMICAL SYSTEMS[J].Chinese Annals of Mathematics B,2005,26(3):393~400 |
| Page view： 1450
Net amount： 1045 |
Authors： |
ZHONG Chengkui; SUN Chunyou;NIU Mingfei |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19971036) and the Trans-Century Training Programme Foundation for the Talents by the Ministry of Education of China. |
|
|
| Abstract： |
By means of a nonstandard estimation about the energy functional, the authors prove the existence of a global attractor for an abstract nonlinear evolution equation. As an application, the existence of a global attractor for some nonlinear reaction-diffusion equations with some distribution derivatives in inhomogeneous terms is obtained. |
Keywords： |
Global attractor, Measures of noncompactness, Reaction-diffusion equations |
Classification： |
35B40, 35B41, 37L05 |
|
|
Download PDF Full-Text
|
