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Gradient estimates for degenerate quasi-linear parabolic equations

183   0   0.0 ( 0 )
 Added by Vitali Liskevich
 Publication date 2010
  fields
and research's language is English




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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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