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Higher integrability for parabolic systems with non-standard growth and degenerate diffusions

Higher integrability for parabolic systems with non-standard growth and degenerate diffusions

The aim of this paper is to establish a Meyer's type higher integrability result for weak solutions of possibly degenerate parabolic systems of the typeThe vector-field a is assumed to fulfill a non-standard p(x, t)growth condition.In particular it is shown that there exists ε > 0 depending only on the …