arXiv:1911.03151 Abstract | arXiv Analytics

arXiv:1911.03151 [math.AP]Abstract References Reviews Resources

Schauder and Sobolev Estimates of Parabolic Equations

Published 2019-11-08Version 1

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].

Comments: 6 pages

Categories: math.AP

Keywords: sobolev estimates, parabolic equations, one-dimensional heat equation, non-homogeneous poisson stochastic process, multidimensional analogs

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