Growth theorems for metric spaces with applications to PDE

Safonov, M.

doi:10.1090/spmj/1671

Growth theorems for metric spaces with applications to PDE
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by M. V. Safonov

St. Petersburg Math. J. 32 (2021), 809-818

DOI: https://doi.org/10.1090/spmj/1671

Published electronically: July 9, 2021

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Abstract:

The paper is devoted to some extensions of the joint results by N. V. Krylov and the author on the Harnack inequalities for second order elliptic and parabolic equations in nondivergence form to metric spaces of homogeneous type. The main tools are special Landis-type growth theorems.

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