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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