, Volume 7, Issue 3, pp 415-428
Date: 29 May 2007

Optimal W 1,p regularity theory for parabolic equations in divergence form

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Abstract.

This work treats L p 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 W 1,p regularity theory holds.

This work was supported by SNU foundation in 2005.