potential well;
nonlinear wave equation;
global solution existence;
D O I:
暂无
中图分类号:
O175.8 [边值问题];
学科分类号:
070104 ;
摘要:
The initial-boundary value problem for the four-order nonlinear wave equation with damping term is derived from diverse physical background such as the study of plate and beams and the study of interaction of water waves. The existence of the global weak solutions to this problem is proved by means of the potential well methods.
机构:
Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R ChinaGuangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China
Huang, Rongli
Ou, Qianzhong
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机构:
Hezhou Univ, Sch Sci, Hezhou 542899, Guangxi, Peoples R ChinaGuangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China
机构:
Univ Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, ArgentinaUniv Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, Argentina
Pablo Borgna, Juan
Degasperis, Antonio
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机构:
Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
Ist Nazl Fis Nucl, Sez Roma, Rome, ItalyUniv Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, Argentina
Degasperis, Antonio
Fernando De Leo, Mariano
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机构:
Univ Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, ArgentinaUniv Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, Argentina
Fernando De Leo, Mariano
Rial, Diego
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h-index: 0
机构:
Univ Buenos Aires, Dept Math, Buenos Aires, DF, ArgentinaUniv Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, Argentina