English

Optimal time and space regularity for solutions of degenerate differential equations

Analysis of PDEs 2008-06-24 v1

Abstract

We derive optimal regularity, in both time and space, for solutions of the Cauchy problem related to a degenerate differential equation in a Banach space X. Our results exhibit a sort of prevalence for space regularity, in the sense that the higher is the order of regularity with respect to space, the lower is the corresponding order of regularity with respect to time.

Keywords

Cite

@article{arxiv.0806.3702,
  title  = {Optimal time and space regularity for solutions of degenerate differential equations},
  author = {Alberto Favaron},
  journal= {arXiv preprint arXiv:0806.3702},
  year   = {2008}
}
R2 v1 2026-06-21T10:53:28.573Z