English

Sharp regularity estimates for quasilinear evolution equations

Analysis of PDEs 2018-05-01 v1

Abstract

We establish sharp geometric C1+αC^{1+\alpha} regularity estimates for bounded weak solutions of evolution equations of pp-Laplacian type. Our approach is based on geometric tangential methods, and makes use of a systematic oscillation mechanism combined with an adjusted intrinsic scaling argument.

Keywords

Cite

@article{arxiv.1804.11140,
  title  = {Sharp regularity estimates for quasilinear evolution equations},
  author = {Marcelo D. Amaral and João Vítor da Silva and Gleydson C. Ricarte and Rafayel Teymurazyan},
  journal= {arXiv preprint arXiv:1804.11140},
  year   = {2018}
}

Comments

18 pages

R2 v1 2026-06-23T01:39:54.856Z