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

页码：939 / 951

页数：13

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