Notes on spectrum and exponential decay in nonautonomous evolutionary equations

Notes on spectrum and exponential decay in nonautonomous evolutionary equations

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We first determine the dichotomy (Sacker-Sell) spectrum for certain nonautonomous linear evolutionary equations induced by a class of parabolic PDE systems.Having this information at hand, we underline the keychron m4 applicability of our second result: If the widths of the gaps in the dichotomy spectrum are bounded away from $0$, then one can rule out click here the existence of super-exponentially decaying (i.e.

slow) solutions of semi-linear evolutionary equations.