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arXiv · 1905.05577

Higher integrability for parabolic systems with Orlicz growth

Peter Hästö·Jihoon Ok
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Abstract

We prove higher integrability of the spatial gradient of weak solutions to parabolic systems with $\phi$-growth, where $\varphi=\varphi(t)$ is a general Orlicz function. The parabolic systems need be neither degenerate nor singular. Our result is a generalized version of the one of J. Kinnunen and J. Lewis [Duke Math. J. 102 (2000), no. 2, 253--271] for the parabolic $p$-Laplace systems.

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Peter Hästö, Jihoon Ok. 2019-05-14. Higher integrability for parabolic systems with Orlicz growth. https://doi.org/10.1016/j.jde.2021.08.012

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