KMS Of Academy of mathematics and systems sciences, CAS
| DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY | |
| Yang, Meihua1,2; Sun, Chunyou3,4 | |
| 2009 | |
| Source Publication | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| ISSN | 0002-9947 |
| Volume | 361Issue:2Pages:1069-1101 |
| Abstract | This paper is dedicated to analyzing the dynamical behavior of strongly damped wave equations with critical nonlinearity in locally uniform spaces. After proving the global well-posedness, we first establish the asymptotic regularity of the solutions which appears to be optimal and the existence of a bounded (in H(lu)(2)(R(N)) x H(lu)(1)(R(N))) subset which attracts exponentially every initial H(lu)(1)(R(N)) x L(lu)(2)(R(N))-bounded set with respect to the H(lu)(1)(R(N)) x L(lu)(2)(R(N))-norm. Then, we show there is a (H(lu)(1)(R(N)) x L(lu)(2)(R(N)), H(p)(1)(R(N)) x H(p)(1)(R(N)))-global attractor, which reflects the strongly damped property of Delta(ut) to some extent. |
| Keyword | Strongly damped wave equation locally uniform spaces critical exponent asymptotic regularity attractors |
| Language | 英语 |
| Funding Project | NSFC[10601021] ; NSFC[10726024] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000260555500020 |
| Publisher | AMER MATHEMATICAL SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/7629 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yang, Meihua |
| Affiliation | 1.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China 2.Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China 3.Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China 4.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Yang, Meihua,Sun, Chunyou. DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2009,361(2):1069-1101. |
| APA | Yang, Meihua,&Sun, Chunyou.(2009).DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,361(2),1069-1101. |
| MLA | Yang, Meihua,et al."DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 361.2(2009):1069-1101. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment