English

Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions

Analysis of PDEs 2015-12-29 v1

Abstract

We investigate the regularity in LpL^p (p>2p>2) of the gradient of any weak solution of a Cauchy problem with mixed Neumann-power type boundary conditions. Under suitable assumptions we prove the existence of weak solutions that satisfy explicit estimates. Some considerations on the steady-state regularity are discussed.

Keywords

Cite

@article{arxiv.1407.2459,
  title  = {Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions},
  author = {Luisa Consiglieri},
  journal= {arXiv preprint arXiv:1407.2459},
  year   = {2015}
}

Comments

26 pages

R2 v1 2026-06-22T04:59:30.116Z