Almost automorphy of semilinear parabolic evolution equations

Almost automorphy of semilinear parabolic evolution equations

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 $A(cdot)$ satisfy the Acquistapace-Terreni conditions, the evolution family genera...

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Bibliographic Details
Main Authors: Lahcen Maniar, Gaston M. N'Guerekata, Said Boulite, Mahmoud Baroun
Format: Article
Language:English
Published: Texas State University 2008-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Parabolic evolution equations
almost automorphy
exponential dichotomy
Green's function
Online Access:http://ejde.math.txstate.edu/Volumes/2008/60/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2008/60/abstr.html

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