# Interior regularity of space derivatives to an evolutionary, symmetric $$\varphi$$φ-Laplacian

@article{Burczak2015InteriorRO,
title={Interior regularity of space derivatives to an evolutionary, symmetric \$\$\varphi \$\$$\phi$-Laplacian},
author={Jan Burczak and Petr Kaplick'y},
journal={Monatshefte f{\"u}r Mathematik},
year={2015},
volume={183},
pages={71-101}
}
• Published 21 July 2015
• Mathematics
• Monatshefte für Mathematik
We consider the Orlicz-growth generalization to the evolutionary p-Laplacian and to the evolutionary symmetric p-Laplacian. We derive the spatial second-order Caccioppoli-type estimate for a local weak solution to these systems. Our result is new even for the p-case.
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