GROWTH THEOREMS FOR METRIC SPACES WITH APPLICATIONS TO PDE

M. V. Safonov

doi:10.1090/spmj/1671

GROWTH THEOREMS FOR METRIC SPACES WITH APPLICATIONS TO PDE

M. V. Safonov

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	809-818
Number of pages	10
Journal	St. Petersburg Mathematical Journal
Volume	32
Issue number	4
DOIs	https://doi.org/10.1090/spmj/1671
State	Published - 2021

Bibliographical note

Funding Information:
The author is thankful to Nicolai V. Krylov for stimulating conversations.

Publisher Copyright:
© 2021. American Mathematical Society.

Keywords

Covering lemmas
Harnack inequality
quasimetric spaces

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GROWTH THEOREMS FOR METRIC SPACES WITH APPLICATIONS TO PDE

Abstract

Bibliographical note

Keywords

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