English

Lorentz estimates for obstacle parabolic problems

Analysis of PDEs 2013-11-07 v1

Abstract

We prove that the spatial gradient of (variational) solutions to parabolic obstacle problems of p-Laplacian type enjoys the same regularity of the data and of the derivatives of the obstacle in the scale of Lorentz spaces.

Keywords

Cite

@article{arxiv.1311.1230,
  title  = {Lorentz estimates for obstacle parabolic problems},
  author = {Paolo Baroni},
  journal= {arXiv preprint arXiv:1311.1230},
  year   = {2013}
}

Comments

31 pages

R2 v1 2026-06-22T02:01:51.645Z