English

The volume potential for elliptic differential operators in Schauder spaces

Analysis of PDEs 2025-04-16 v3

Abstract

The aim of this paper is to prove continuity results for the volume potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces of negative exponent and to generalize some classical results in Schauder spaces of positive exponents.

Keywords

Cite

@article{arxiv.2408.17192,
  title  = {The volume potential for elliptic differential operators in Schauder spaces},
  author = {M. Lanza de Cristoforis},
  journal= {arXiv preprint arXiv:2408.17192},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:2405.01818, arXiv:2307.04775, arXiv:2305.19672

R2 v1 2026-06-28T18:28:40.737Z