# Higher integrability for parabolic systems with Orlicz growth

## TL;DR

This paper establishes higher integrability of spatial gradients for weak solutions to parabolic systems with general Orlicz growth, extending previous results beyond the classical p-Laplace case to more general, non-degenerate, and non-singular systems.

## Contribution

It generalizes higher integrability results to parabolic systems with Orlicz growth, broadening applicability to more complex and diverse systems.

## Key findings

- Proves higher integrability for solutions with Orlicz growth
- Extends previous p-Laplace results to more general systems
- Applicable to non-degenerate and non-singular parabolic systems

## 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.