English

Classical solutions of the divergence equation with Dini-continuous datum

Analysis of PDEs 2017-12-22 v1

Abstract

We consider the boundary value problem associated to the divergence operator with vanishing Dirichlet boundary conditions and we prove the existence of classical solutions under slight assumptions on the regularity of the datum.

Keywords

Cite

@article{arxiv.1712.07917,
  title  = {Classical solutions of the divergence equation with Dini-continuous datum},
  author = {Luigi C. Berselli and Placido Longo},
  journal= {arXiv preprint arXiv:1712.07917},
  year   = {2017}
}

Comments

20 pages

R2 v1 2026-06-22T23:25:48.252Z