HIGHER INTEGRABILITY FOR WEAK SOLUTIONS OF HIGHER ORDER DEGENERATE PARABOLIC SYSTEMS

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Parabolic systems with polynomial growth and regularity (2011, background): “3) unless p = 2; see for instance the recent interesting papers of Kinnunen & Lewis [48, 49] and Bögelein [7, 9].”
Hölder estimates for parabolic p(x, t)-Laplacian systems (2012, methodology): “For the case of parabolic systems satisfying a standard p-growth we mention the work of Kinunnen and Lewis [23] (for the higher order analogue see [7]), and the related results [8,24] for very weak solutions of systems of this type.”
Self-improving property of nonlinear higher order parabolic systems near the boundary (2010, methodology): “The local higher integrability result was recently extended to higher order parabolic systems in [9], and global higher integrability results for quasiminimizers and second order parabolic systems were obtained in [35, 36, 37].”
Higher integrability for parabolic systems with non-standard growth and degenerate diffusions (2011, background): “Finally, the case of higher order parabolic systems with degenerate diffusions was treated in [7], [11].”