Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

Jehan Oh; Jihoon Ok

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arXiv · 2108.10443

Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

Jehan Oh·Jihoon Ok

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Abstract

We obtain Calder\'on-Zygmund type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time variables. In addition, we consider parabolic systems with the Uhlenbeck structure.

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Jehan Oh, Jihoon Ok. 2021-08-23. Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients. https://arxiv.org/abs/2108.10443

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