This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the intrinsic geometry involves the solution as well as its spatial gradient. The main result holds true for a range of parameters suggested by other nonlinear parabolic systems.

中文翻译：

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双非线性抛物系统的更高可积性

本文证明了双非线性抛物系统的弱解的空间梯度具有较高的局部可积性结果。该论点的新特征是，固有几何涉及解决方案及其空间梯度。对于其他非线性抛物线系统建议的一系列参数，主要结果仍然成立。