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. 
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Weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:math>-type regularity estimates for nonlinear parabolic equations with Orlicz growth
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TLDR
The weights obtained in this paper are weighted according to the following criteria: regularity, power, efficiency, and ν.
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