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| 半线性抛物方程在L2p空间中全局吸引子的存在性 |
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宋雪丽,弓剑军
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1. 西安交通大学理学院,陕西,西安,710049;西安科技大学理学院,陕西,西安,710054
2. 中国科学院国家授时中心,陕西,西安,710600
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| 摘要: |
| 本文研究了半线性抛物方程所生成的半群{S(t)}t≥0的吸引子的存在性.利用文献[1]中证明吸引子正则性的思想,分别得到半群{S(t)}t≥0在L~(2p)(Ω)空间中具有一个有界吸收集和一个全局吸引子. |
| 关键词: 半线性抛物方程 全局吸引子 半群算子 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:Supported by National Natural Science Foundation of China(10871156) |
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| EXISTENCE OF GLOBAL ATTRACTORS FOR SEMILINEAR PARABOLIC EQUATION IN L2p SPACE |
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SONG Xue-li,GONG Jian-jun
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SONG Xue-li~(1,2),GONG Jian-jun~3 (1.College of Science,Xi'an Jiaotong University,Xi'an 710049,China) (2.College of Science,Xi'an University of Science and Technology,Xi'an 710054,China) (3.National Time Service Center,Chinese Academy of Sciences,Xi'an 710600,China)
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| Abstract: |
| In this article,we investigate the existence of attractor for the semigroup {S(t)}t≥0,which is generated by the semilinear parabolic equation.By using the idea for the proof of regularity of the attractor in[1],we obtain a bounded absorbing set and a global attractor for semigroup{S(t)}t≥0 in L2p(Ω),respectively. |
| Key words: Semilinear parabolic equations global attractors semigroup operator |
