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arXiv · 1507.05843

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

Jan Burczak·Petr Kaplický
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Abstract

We consider Orlicz-growth generalization to evolutionary $p$-Laplacian and to the evolutionary symmetric $p$-Laplacian. We derive the spatial second-order Caccioppoli estimate for a local weak solution to these systems. The result is new even for the $p$-case.

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Jan Burczak, Petr Kaplický. 2015-07-21. Interior regularity of space derivatives to an evolutionary, symmetric $\varphi$-Laplacian. https://arxiv.org/abs/1507.05843

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