Parabolic Evolution Equations with Asymptoticallyautonomous
نویسنده
چکیده
We study retarded parabolic non{autonomous evolution equations whose coeecients converge as t ! 1 such that the autonomous problem in the limit has an exponential dichotomy. Then the non{autonomous problem inherits the exponential dichotomy and the solution of the inhomogeneous equation tends to the stationary solution at innnity. We use a generalized characteristic equation to deduce the exponential dichotomy and new representation formulas for the solution of the inhomogeneous equation. 1. Introduction In the present paper we continue the investigation of the long{term behaviour of asymp-totically autonomous evolution equations begun in 30]. There we studied the Cauchy problem _
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