Upper bounds for fundamental solutions to non-local diffusion equations with divergence free drift

Yasunori Maekawa, Hideyuki Miura

研究成果: Article査読

12 被引用数 (Scopus)

抄録

We consider some non-local diffusion equations in the presence of a divergence free drift term, where the diffusion operators are related to certain Dirichlet forms of jump type. We derive pointwise upper bounds for fundamental solutions of the equations under weak assumptions for the velocity of the drift term. Our class of the velocity includes functions with the scale-critical regularity and some growing functions at spatial infinity.

本文言語English
ページ(範囲)2245-2268
ページ数24
ジャーナルJournal of Functional Analysis
264
10
DOI
出版ステータスPublished - 2013 5 15

ASJC Scopus subject areas

  • 分析

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