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Optimal W1,p regularity theory for parabolic equations in divergence form

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Abstract.

This work treats Lp regularity theory for weak solutions of parabolic equations in divergence form with discontinuous coefficients on nonsmooth domains. We essentially obtain an optimal condition on the coefficients under which the global W1,p regularity theory holds.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea

    Sun-Sig Byun

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  1. Sun-Sig Byun
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Correspondence to Sun-Sig Byun.

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This work was supported by SNU foundation in 2005.

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Byun, SS. Optimal W1,p regularity theory for parabolic equations in divergence form. J. evol. equ. 7, 415–428 (2007). https://doi.org/10.1007/s00028-007-0278-y

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  • DOI: https://doi.org/10.1007/s00028-007-0278-y

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