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Gradient estimates for degenerate quasi-linear parabolic equations

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 نشر من قبل Vitali Liskevich
 تاريخ النشر 2010
  مجال البحث
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For a general class of divergence type quasi-linear degenerate parabolic equations with differentiable structure and lower order coefficients form bounded with respect to the Laplacian we obtain $L^q$-estimates for the gradients of solutions, and for the lower order coefficients from a Kato-type class we show that the solutions are Lipschitz continuous with respect to the space variable.



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