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

Jan Burczak, Petr Kaplický · arXiv (Cornell University) · 2015

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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