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arXiv · 1508.03999

Strong convergence of solutions to nonautonomous Kolmogorov equations

Luca Lorenzi·Alessandra Lunardi·Roland Schnaubelt
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Abstract

We study a class of nonautonomous, linear, parabolic equations with unbounded coefficients on $\mathbb R^{d}$ which admit an evolution system of measures. It is shown that the solutions of these equations converge to constant functions as $t\to+\infty$. We further establish the uniqueness of the tight evolution system of measures and treat the case of converging coefficients.

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Luca Lorenzi, Alessandra Lunardi, Roland Schnaubelt. 2015-08-17. Strong convergence of solutions to nonautonomous Kolmogorov equations. https://arxiv.org/abs/1508.03999

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