EXPONENTIAL DICHOTOMIES IN EVOLUTIONARY EQUATIONS: A PRELIMINARY REPORT
Department of Mathematics University of Southern California Los Angeles. California
School of Mathematics University of Minnesota Minnapolis, Minnesota
DOI: 10.1201/9781003420026-10
1 INTRODUCTION
In this lecture we want to present some preliminary results on the general theory of linear evolutionary equations. While the theory we discuss here concerns linear equations only, our investigations should be viewed as the first step in a somewhat broader program that includes the local behavior of nonlinear evolutionary equations near an invariant finite dimensional manifold.
In order to Motivate our theory it is helpful to review several problems ...
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