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Regularity theory in Orlicz spaces for the parabolic polyharmonic equations

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Abstract.

In this paper we generalize classical L p estimates to Orlicz spaces for the parabolic polyharmonic equations. Our argument is based on the iteration-covering procedure.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Fengping Yao

  2. LMAM, School of Mathematical Sciences, Peking University, Bejing, 100871, China

    Fengping Yao

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  1. Fengping Yao
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Correspondence to Fengping Yao.

Additional information

This work is supported in part by the NBRPC under Grant 2006CB705700 and the NSFC under Grant 60532080.

Received: 10 September 2007

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Yao, F. Regularity theory in Orlicz spaces for the parabolic polyharmonic equations. Arch. Math. 90, 429–439 (2008). https://doi.org/10.1007/s00013-008-2576-1

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  • DOI: https://doi.org/10.1007/s00013-008-2576-1

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