GROWTH THEOREMS FOR METRIC SPACES WITH APPLICATIONS TO PDE

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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.

Original languageEnglish (US)
Pages (from-to)809-818
Number of pages10
JournalSt. Petersburg Mathematical Journal
Volume32
Issue number4
DOIs
StatePublished - 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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