Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces

被引：109

作者：

Zacher, Rico ^{[1
]}

机构：

[1] Univ Halle Wittenberg, Inst Math, D-06120 Halle, Germany

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2009年 / 52卷 / 01期

关键词：

Weak solution; Integro-differential equation; Fractional derivative; Galerkin method; DIFFERENTIAL-EQUATIONS;

D O I：

10.1619/fesi.52.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of weak solutions to certain abstract evolutionary integro-differential equations in Hilbert spaces, including evolution equations of fractional order less than 1. Our results apply, e.g., to parabolic partial integro-differential equations in divergence form with merely bounded and measurable coefficients.

引用

页码：1 / 18

页数：18

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