Calder\'on-Zygmund estimates for parabolic systems with $p$-growth and non-divergence data

Pêdra Andrade; Kristian Moring

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arXiv · 2608.20070

Calder\'on-Zygmund estimates for parabolic systems with $p$-growth and non-divergence data

Pêdra Andrade·Kristian Moring

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Abstract

We obtain Calder\'on--Zygmund estimates for weak solutions to nonlinear parabolic systems with polynomial $p$-growth and the right-hand side in non-divergence form. Our approach does not require differentiability of the vector field with respect to the gradient variable and provides a unified treatment of both the singular and degenerate regimes. In particular, we establish local higher-integrability estimates for the gradient of the solution under appropriate dependency on the integrability of the right-hand side.

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Pêdra Andrade, Kristian Moring. 2026-08-20. Calder\'on-Zygmund estimates for parabolic systems with $p$-growth and non-divergence data. https://arxiv.org/abs/2608.20070

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