The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity

Mihaela Ignatova; Igor Kukavica; Lenya Ryzhik

doi:10.1080/03605302.2015.1116557

The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity

Mihaela Ignatova
, Igor Kukavica
, Lenya Ryzhik

Mathematics

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

7 Scopus citations

Abstract

We establish the Harnack inequality for advection-diffusion equations with divergence-free drifts by adapting the classical Moser technique to parabolic equations with drifts with regularity lower than the scale invariant spaces.

Original language	English (US)
Pages (from-to)	208-226
Number of pages	19
Journal	Communications in Partial Differential Equations
Volume	41
Issue number	2
DOIs	https://doi.org/10.1080/03605302.2015.1116557
State	Published - Feb 1 2016

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Harnack inequality
advection-diffusion equations
regularity

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10.1080/03605302.2015.1116557

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title = "The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity",

abstract = "We establish the Harnack inequality for advection-diffusion equations with divergence-free drifts by adapting the classical Moser technique to parabolic equations with drifts with regularity lower than the scale invariant spaces.",

keywords = "Harnack inequality, advection-diffusion equations, regularity",

author = "Mihaela Ignatova and Igor Kukavica and Lenya Ryzhik",

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T1 - The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity

AU - Ignatova, Mihaela

AU - Kukavica, Igor

AU - Ryzhik, Lenya

PY - 2016/2/1

Y1 - 2016/2/1

N2 - We establish the Harnack inequality for advection-diffusion equations with divergence-free drifts by adapting the classical Moser technique to parabolic equations with drifts with regularity lower than the scale invariant spaces.

AB - We establish the Harnack inequality for advection-diffusion equations with divergence-free drifts by adapting the classical Moser technique to parabolic equations with drifts with regularity lower than the scale invariant spaces.

KW - Harnack inequality

KW - advection-diffusion equations

KW - regularity

UR - https://www.scopus.com/pages/publications/84958882897

UR - https://www.scopus.com/pages/publications/84958882897#tab=citedBy

U2 - 10.1080/03605302.2015.1116557

DO - 10.1080/03605302.2015.1116557

M3 - Article

AN - SCOPUS:84958882897

SN - 0360-5302

VL - 41

SP - 208

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JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 2

ER -

The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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