Semilinear wave equations with time-dependent boundary dampings are considered. We prove global existence of the solution, and establish uniform decay rates of the energy of the non-autonomous system. From the results, one can see that the growth conditions of the damping term determine the form of the energy decay, polynomial or exponential decay, and the coefficient of the damping influences the speed of the energy decay. To the best of our knowledge, there has been few work about the well-posedness and decay rates of a multi-dimensional wave equation with a time-dependent boundary dissipation. (C) 2019 Elsevier Inc. All rights reserved.
机构:
Khalifa Univ, Fac Arts & Sci, Dept Math, POB 127788, Abu Dhabi, U Arab EmiratesKing Abdulaziz Univ, Fac Sci, NAAM Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
Kirane, Mokhtar
Fino, Ahmad Z.
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机构:
Amer Univ Middle East, Coll Engn & Technol, Egaila 54200, KuwaitKing Abdulaziz Univ, Fac Sci, NAAM Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
Fino, Ahmad Z.
Alsaedi, Ahmed
论文数: 0引用数: 0
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机构:
King Abdulaziz Univ, Fac Sci, NAAM Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, NAAM Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
Alsaedi, Ahmed
Ahmad, Bashir
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King Abdulaziz Univ, Fac Sci, NAAM Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, NAAM Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
机构:
Imam Abdulrahman Bin Faisal Univ, Dept Basic Sci, Deanship Preparatory Year & Supporting Studies, POB 1982, Dammam, Saudi ArabiaImam Abdulrahman Bin Faisal Univ, Dept Basic Sci, Deanship Preparatory Year & Supporting Studies, POB 1982, Dammam, Saudi Arabia
Hamouda, Makram
Majdoub, Mohamed
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Imam Abdulrahman Bin Faisal Univ, Coll Sci, Dept Math, POB 1982, Dammam, Saudi Arabia
Imam Abdulrahman Bin Faisal Univ, Basic & Appl Sci Res Ctr, POB 1982, Dammam 31441, Saudi ArabiaImam Abdulrahman Bin Faisal Univ, Dept Basic Sci, Deanship Preparatory Year & Supporting Studies, POB 1982, Dammam, Saudi Arabia
机构:
RIKEN, Ctr Adv Intelligence Project, Tokyo, Japan
Keio Univ, Fac Sci & Technol, Yokohama 2238522, JapanRIKEN, Ctr Adv Intelligence Project, Tokyo, Japan
Ikeda, Masahiro
Taniguchi, Koichi
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Tohoku Univ, Adv Inst Mat Res, Sendai 9808577, JapanRIKEN, Ctr Adv Intelligence Project, Tokyo, Japan
Taniguchi, Koichi
Wakasugi, Yuta
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Hiroshima Univ, Grad Sch Adv Sci & Engn, Lab Math, Higashihiroshima 7398527, JapanRIKEN, Ctr Adv Intelligence Project, Tokyo, Japan
Wakasugi, Yuta
EVOLUTION EQUATIONS AND CONTROL THEORY,
2024,
13
(04):
: 1101
-
1125
机构:
Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
Xiao, Changwang
Guo, Fei
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Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China