English

Higher order linear parabolic equations

Analysis of PDEs 2012-12-21 v1

Abstract

We first highlight the main differences between second order and higher order linear parabolic equations. Then we survey existing results for the latter, in particular by analyzing the behavior of the convolution kernels. We illustrate the updated state of art and we suggest several open problems.

Keywords

Cite

@article{arxiv.1212.5099,
  title  = {Higher order linear parabolic equations},
  author = {Gerassimos Barbatis and Filippo Gazzola},
  journal= {arXiv preprint arXiv:1212.5099},
  year   = {2012}
}

Comments

Dedicated to Patrizia Pucci. To appear in the the Contemporary Mathematics series of the AMS

R2 v1 2026-06-21T22:58:06.487Z