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Abstract
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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.
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Keywords
Navier–Stokes, local representation formula, Kato class
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Mathematical Subject Classification
Primary: 35Q30
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Milestones
Received: 21 October 2020
Revised: 9 July 2021
Accepted: 9 July 2021
Published: 15 October 2021
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