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arxiv: 1704.07307 · v1 · pith:FE6PLH6Cnew · submitted 2017-04-24 · 🧮 math.AP

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

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keywords equationsboundscoefficientsgaussianlowerparabolicboundclass
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We prove Gaussian upper and lower bounds for the fundamental solutions of a class of degenerate parabolic equations satisfying a weak Hormander condition. The bound is independent of the smoothness of the coefficients and generalizes classical results for uniformly parabolic equations

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