English

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

Analysis of PDEs 2015-07-22 v1

Abstract

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

Keywords

Cite

@article{arxiv.1507.05843,
  title  = {Interior regularity of space derivatives to an evolutionary, symmetric $\varphi$-Laplacian},
  author = {Jan Burczak and Petr Kaplický},
  journal= {arXiv preprint arXiv:1507.05843},
  year   = {2015}
}