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Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients - MaRDI portal

Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients (Q2021529)

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Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients
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    Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients (English)
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    27 April 2021
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    In this paper the authors consider a Kolmogorov backward equation. They prove Gaussian upper and lower bounds for the fundamental solutions of a class of degenerate parabolic equations satisfying a weak Hörmander condition. The bound is independent of the smoothness of the coefficients and extends bounds for the fundamental solution proved for uniformly parabolic operators with measurable coefficients
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    Kolmogorov equations
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    fundamental solution
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    linear stochastic equations
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    Harnack inequalities
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