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# Interior $h^1$ Estimates for Parabolic Equations with $\operatorname{LMO}$ Coefficients

Published:2009-12-04
Printed: Feb 2010
• Lin Tang,
Peking University, China
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## Abstract

In this paper we establish \emph{a priori} $h^1$-estimates in a bounded domain for parabolic equations with vanishing $\operatorname{LMO}$ coefficients.
 Keywords: parabolic operator, Hardy space, parabolic, singular integrals and commutators
 MSC Classifications: 35K20 - Initial-boundary value problems for second-order parabolic equations 35B65 - Smoothness and regularity of solutions 35R05 - Partial differential equations with discontinuous coefficients or data