Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds
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🧮 math.PR
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estimatemanifoldsriemanniancompletediffusiongradientharnackinequality
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A new type of gradient estimate is established for diffusion semigroups on non-compact complete Riemannian manifolds. As applications, a global Harnack inequality with power and a heat kernel estimate are derived for diffusion semigroups on arbitrary complete Riemannian manifolds.
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