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arXiv · 1911.03151

Schauder and Sobolev Estimates of Parabolic Equations

Guangying Lv·Jinlong Wei
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Abstract

In this note, we use the non-homogeneous Poisson stochastic process to show how knowing Schauder and Sobolev estimates for the one-dimensional heat equation allows one to derive their multidimensional analogs. The method is probability. We generalize the result of Krylov-Priola [7].

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Guangying Lv, Jinlong Wei. 2019-11-08. Schauder and Sobolev Estimates of Parabolic Equations. https://arxiv.org/abs/1911.03151

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