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Global weighted estimates for second-order nondivergence elliptic and parabolic equations

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Abstract

In this paper, we obtain the global weighted \(L^p\) estimates for second-order nondivergence elliptic and parabolic equations with small BMO coefficients in the whole space. As a corollary, we obtain \(L^p\)-type regularity estimates for such equations.

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Acknowledgements

The author wishes to thank the anonymous reviewer for valuable comments and suggestions that improved the expressions. This work is supported in part by the NSFC (11471207) and the Innovation Program of Shanghai Municipal Education Commission (14YZ027).

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200436, China

    Fengping Yao

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  1. Fengping Yao
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Correspondence to Fengping Yao.

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Communicating Editor: S Kesavan

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Yao, F. Global weighted estimates for second-order nondivergence elliptic and parabolic equations. Proc Math Sci 128, 11 (2018). https://doi.org/10.1007/s12044-018-0387-2

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  • DOI: https://doi.org/10.1007/s12044-018-0387-2

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