English

Well-Posedness of Second-Order Uniformly Elliptic PDEs with Neumann Conditions

Analysis of PDEs 2025-07-04 v2

Abstract

Extending the results of Nardi (2015), this note establishes an existence and uniqueness result for second-order uniformly elliptic PDEs in divergence form with Neumann boundary conditions. A Schauder estimate is also derived.

Keywords

Cite

@article{arxiv.2412.19397,
  title  = {Well-Posedness of Second-Order Uniformly Elliptic PDEs with Neumann Conditions},
  author = {Haruki Kono},
  journal= {arXiv preprint arXiv:2412.19397},
  year   = {2025}
}