Article Contents
Article Contents

# Topological decoupling and linearization of nonautonomous evolution equations

• Topological linearization results typically require solution flows rather than merely semiflows. An exception occurs when the linearization fulfills spectral assumptions met e.g. for scalar reaction-diffusion equations. We employ tools from the geometric theory of nonautonomous dynamical systems in order to extend earlier work by Lu [12] to time-variant evolution equations under corresponding conditions on the Sacker-Sell spectrum of the linear part. Our abstract results are applied to nonautonomous reaction-diffusion and convection equations.
Mathematics Subject Classification: Primary: 37C60; Secondary: 37D10, 37L25.

 Citation:

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