WEAK SOLUTIONS OF HYPERBOLIC-PARABOLIC VOLTERRA-EQUATIONS

被引：8

作者：

GRIPENBERG, G

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 343卷 / 02期

关键词：

VOLTERRA EQUATION; WEAK SOLUTION; L-INFINITY-BOUND; VISCOELASTICITY; PARABOLIC; HYPERBOLIC;

D O I：

10.2307/2154736

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of a global weak solution, satisfying certain a priori L(infinity)-bounds, of the equation u(t)(t,x) = integral-t/0 k(t-s)(sigma(u(x)))x(s,x)ds + f(t,x) is established. The kernel k is locally integrable and log-convex, and sigma' has only one local minimum which is positive.

引用

页码：675 / 694

页数：20

共 32 条

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[2]

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