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arXiv · 2304.10615

Calder\'on-Zygmund type estimate for the parabolic double-phase system

Wontae Kim
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Abstract

This paper provides a local and global Calder\'on-Zygmund type estimate of a weak solution to the parabolic double-phase system. The proof of local estimate is based on comparison estimates and the scaling invariant property of the parabolic double-phase system in the intrinsic cylinders of the stopping time argument setting. For the proof of the global estimate, we have applied the reflection and approximation techniques.

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Wontae Kim. 2023-04-20. Calder\'on-Zygmund type estimate for the parabolic double-phase system. https://arxiv.org/abs/2304.10615

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