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On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type. (English) Zbl 0969.35134
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 M. Giaquinta and M. Struwe [Math. Z. 179, 437-451 (1982; Zbl 0469.35028)].

35R10 Partial functional-differential equations
35M10 PDEs of mixed type
39A10 Additive difference equations
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