Vol. 314, No. 1, 2021

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Correction to the article Local estimates on two linear parabolic equations with singular coefficients

Qi S. Zhang

Vol. 314 (2021), No. 1, 253–258
Abstract

The purpose of the corrigendum is to fill in a missing term in Theorem 1.7 and Lemma 3.3 in the paper Pacific J. Math. 223:2 (2006), 367–396. This is due to the use of a formula in a cited reference, which omitted a term. The main conclusion that local solutions of a certain linearized Navier–Stokes equation have bounded spatial gradient is intact. This includes bounded local Leray–Hopf solutions to the Navier–Stokes equation without condition on the pressure.

Keywords
Navier–Stokes, local representation formula, Kato class
Primary: 35Q30