| WANG Zongxin.[J].数学年刊A辑,1999,20(3):271~278 |
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| ON A CONSTRUCTION OF INERTIAL MANIFOLDS FOR A CLASSOF SECOND ORDER IN TIME EVOLUTION EQUATIONS |
| Received:March 02, 1999 |
| DOI： |
| 中文关键词: |
| 英文关键词:Dynamical systems, Inertial manifolds, Nonlinear
evolution equations |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| Inertial manifolds for a class of second order in time dissipative
equations are constructed. The author also proves an asymptotic
completeness property for the inertial manifolds and characterizes
the inertial manifolds as the set of trajectories whose growth is at
most of order $O(e^{-\mu t})$ for some $\mu >0$. As applications,
a
nonlinear wave equation and a problem of nonlinear oscillations of a
shallow shell are considered. |
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