Nonlinear Hyperbolic Equations with Dissipative Temporal and Spatial Non-Local Memory

被引：0
|
作者：
Mosna, F. [1 ]
Necas, J. [2 ,3 ]
机构：
[1] Charles Univ Prague, Fac Educ, Prague 11639 1, Czech Republic
[2] Charles Univ Prague, Fac Math & Phys, CR-18600 Prague 8, Czech Republic
[3] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1999年 / 18卷 / 04期
关键词：
Singular viscoelasticity; energy estimates; weak solutions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The equation governing the evolution of a displacement vector in an elastic body with dissipative temporal and spatial non-local memory is considered. The memory term is generated by a singular but integrable kernel. The existence of a global weak solution to the associated initial-boundary problem is established by constructing Galerkin approximations and deriving a suitable energy estimate.
引用
收藏
页码：939 / 951
页数：13
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