Abstract

We prove that the gradients of solutions of parabolic systems of equations (linear and quasi-linear systems with quadratic nonlinearity with respect to the gradient) satisfying first of second boundary conditions are in Lp, p>2. It is assumed that the data of the problems belong to anisotropic spaces. The proof is based on the application of results on reverse Hölder inequalities obtained previously by the author. Bibliography: 6 titles.

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