ALMOST AUTOMORPHY OF SEMILINEAR PARABOLIC EVOLUTION EQUATIONS

被引：0

作者：

Baroun, Mahmoud ^{[1
]}

Boulite, Said ^{[1
]}

N'Guerekata, Gaston M. ^{[2
]}

Maniar, Lahcen ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech 40000, Morocco

[2] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Parabolic evolution equations; almost automorphy; exponential dichotomy; Green's function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence and uniqueness of almost automorphic mild solutions to the semilinear parabolic evolution equation u'(t) = A(t)u(t) + f(t, u(t)), assuming that the linear operators A(.) satisfy the 'Acquistapace-Terreni' conditions, the evolution family generated by A(.) has an exponential dichotomy, and the resolvent R(w, A(.)), and f are almost automorphic.

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页数：9

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