Pullback attractors for a nonautonomous damped wave equation with infinite delays in weighted space
In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space Cγ,H01(Ω),L2(Ω) and Cγ,D(A),H01(Ω), respectively. In addition, we study the existence of pullback attractor for the process associated to the problem by a direct and simple...
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Published in | Mathematical methods in the applied sciences Vol. 41; no. 12; pp. 4612 - 4640 |
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Main Authors | , |
Format | Journal Article |
Language | English |
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01.08.2018
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Abstract | In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space
Cγ,H01(Ω),L2(Ω) and
Cγ,D(A),H01(Ω), respectively. In addition, we study the existence of pullback attractor for the process associated to the problem by a direct and simple compactness method. |
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AbstractList | In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space
and
, respectively. In addition, we study the existence of pullback attractor for the process associated to the problem by a direct and simple compactness method. In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space Cγ,H01(Ω),L2(Ω) and Cγ,D(A),H01(Ω), respectively. In addition, we study the existence of pullback attractor for the process associated to the problem by a direct and simple compactness method. In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space Cγ,H01(Ω),L2(Ω) and Cγ,D(A),H01(Ω), respectively. In addition, we study the existence of pullback attractor for the process associated to the problem by a direct and simple compactness method. |
Author | Ran, Yanping Shi, Qihong |
Author_xml | – sequence: 1 givenname: Yanping orcidid: 0000-0002-8122-8407 surname: Ran fullname: Ran, Yanping email: ranypmath@163.com organization: Tianshui Normal University – sequence: 2 givenname: Qihong surname: Shi fullname: Shi, Qihong organization: Lanzhou University of Technology |
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Cites_doi | 10.1007/978-1-4612-4342-7 10.1063/1.5021689 10.1016/j.jde.2003.09.008 10.1142/S0219493704001139 10.1016/j.na.2009.02.065 10.1016/j.na.2010.03.012 10.1023/A:1019156812251 10.1007/BFb0084432 10.1007/978-3-642-66165-5 10.1063/1.4998214 10.3934/dcds.2014.34.4343 10.1109/TAC.1984.1103436 10.1016/S0167-6911(97)00107-2 10.1016/j.na.2005.03.111 10.1016/j.na.2013.05.026 10.1016/j.jde.2004.04.012 10.1016/j.jmaa.2018.02.039 10.1016/j.na.2010.11.008 10.1016/j.jde.2007.05.015 10.1016/j.jde.2007.03.028 10.3934/dcds.2010.26.989 10.1007/978-3-642-93073-7 10.1007/978-3-662-08542-4 |
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Snippet | In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space
Cγ,H01(Ω),L2(Ω) and... In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space and , respectively. In addition,... In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space Cγ,H01(Ω),L2(Ω) and... |
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SubjectTerms | infinite delays nonautonoumous equation pullback attractor wave equation Wave equations |
Title | Pullback attractors for a nonautonomous damped wave equation with infinite delays in weighted space |
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