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Interior h1 Estimates for Parabolic Equations with LMO Coefficients

Part of: Partial differential equations Miscellaneous topics - Partial differential equations Parabolic equations and systems

Published online by Cambridge University Press:  20 November 2018

Lin Tang
Lin Tang*
Affiliation:
LMAM, School of Mathematics and Sciences, Peking University,, Beijing, 100871, P. R. China, e-mail: tanglin@math.pku.edu.cn
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Abstract

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In this paper we establish a priori${{h}^{1}}$-estimates in a bounded domain for parabolic equations with vanishing $\text{LMO}$ coefficients.

MSC classification

Secondary: 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
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 1 , 01 February 2010 , pp. 202 - 217
Copyright
Copyright © Canadian Mathematical Society 2010

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