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Showing 1 to 3 of 3 for “"Parabolic Harnack inequality"”.
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Brownian Motion on Spaces with Varying Dimension
… are of Guassian type. However, we show that the parabolic Harnack inequality fails for such process and the measure on the underlying state space does not satisfy volume doubling property. Brownian motion on some other state spaces with varying dimensions are also studied in this thesis. For …
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Harnack inequality for nonlocal operators
Harnack inequalities are a fundamental property in both probability theory and analysis.The scale-variant Harnack inequalities play an important role in studying various properties, such as the regularity of harmonic functions in probability and analysis. This thesis focuses on scale-invariant …