Degenerate distribution semigroups and well-posedness of the Cauchy problem

被引：2

作者：

Melnikova, IV ^{[1
]}

Anufrieva, UA ^{[1
]}

Ushkov, VY ^{[1
]}

机构：

[1] Ural State Univ, Dept Math, Ekaterinburg 620083, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 1998年 / 6卷 / 1-4期

基金：

俄罗斯基础研究基金会;

关键词：

Cauchy problem; well-posedness; Banach space; abstract distribution; semigroup; solution operator; generator;

D O I：

10.1080/10652469808819169

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy problem for the degenerate first order equation Bu'(t) = Au(t), t greater than or equal to 0, u(0) = x, kerB not equal {0}, or the equivalent Cauchy problem for the inclusion u'(t) is an element of B-1 Au(t), t greater than or equal to 0, u(0) = x, are studied in the space of abstract distributions. Well-posedness conditions are obtained in terms distribution semigroups and integrated semigroups.

引用

页码：247 / 256

页数：10