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Titlebook: Geometric Methods in PDE’s; Giovanna Citti,Maria Manfredini,Francesco Uguzzoni Conference proceedings 2015 Springer International Publishi

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The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE, role of the fundamental solution in developing Potential and Regularity Theory for solutions of related PDEs. After recalling the Gaussian behavior at infinity of the kernel, we show some mean value formula on the level set of the fundamental solution, which allow to obtain a comprehensive parallel
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Seminal Vesicle Cancer Invasion,appearing in such estimates from the parabolicity constant. The proof requires the use of the stochastic integral when . is different from 2. Finally we extend our estimates to parabolic equations involving non-degenerate Ornstein-Uhlenbeck type operators.
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