On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type (Q1584712)

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scientific article; zbMATH DE number 1525488
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On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type
scientific article; zbMATH DE number 1525488

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    On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type (English)
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    1 October 2001
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    The paper deals with higher integrability for the gradients of weak solutions of systems of quasilinear difference partial differential equations for elliptic-parabolic type. To this end the authors introduce proper assumptions on the coefficients of the equations and on the initial-boundary data and apply a procedure based on the paper of \textit{M. Giaquinta} and \textit{M. Struwe} [Math. Z. 179, 437-451 (1982; Zbl 0469.35028)].
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    higher integrability
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    difference PDE
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    elliptic-parabolic type
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