# 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} }

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.

## 10 Citations

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Weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML">
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</mml:math>-type regularity estimates for nonlinear parabolic equations with Orlicz growth

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The weights obtained in this paper are weighted according to the following criteria: regularity, power, efficiency, and ν.

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