Interior regularity of space derivatives to an evolutionary, symmetric $\varphi$-Laplacian
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2015
- DOI:
- 10.48550/arXiv.1507.05843
- arXiv:
- arXiv:1507.05843
- Bibcode:
- 2015arXiv150705843B
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 35K55;
- 35K59;
- 35K92;
- 35Q35;
- 35B65