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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 parabolic operator, Hardy space, parabolic, singular integrals and commutators
MSC Classifications: 35K20, 35B65, 35R05 show english descriptions Initial-boundary value problems for second-order parabolic equations
Smoothness and regularity of solutions
Partial differential equations with discontinuous coefficients or data
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
 

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