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Note on time-regularity for weak solutions to parabolic systems of p-Laplace type

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 نشر من قبل Moritz Egert
 تاريخ النشر 2019
  مجال البحث
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We show that local weak solutions to parabolic systems of p-Laplace type are H{o}lder continuous in time with values in a spatial Lebesgue space and H{o}lder continuous on almost every time line. We provide an elementary and self-contained proof building on the local higher integrability result of Kinnunen and Lewis.

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