Strong convergence of solutions to nonautonomous Kolmogorov equations (Q2814409)

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scientific article; zbMATH DE number 6596152
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Strong convergence of solutions to nonautonomous Kolmogorov equations
scientific article; zbMATH DE number 6596152

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    Strong convergence of solutions to nonautonomous Kolmogorov equations (English)
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    22 June 2016
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    nonautonomous parabolic problem
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    unbounded coefficients
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    invariant measures
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    uniqueness
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    convergence
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    evolution semigroup
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    Green's function
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    gradient estimates
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    The authors 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 \(t\to +\infty.\) It is established uniqueness of the tight evolution system of measures and it is treated the case of converging coefficients.
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