English

Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions

Analysis of PDEs 2018-12-27 v1

Abstract

We consider the Hamiltonian stationary equation for all phases in dimension two. We show that solutions that are C1,1C^{1,1} will be smooth and we also derive a C2,αC^{2,\alpha} estimate for it.

Keywords

Cite

@article{arxiv.1805.09556,
  title  = {Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions},
  author = {Arunima Bhattacharya and Micah Warren},
  journal= {arXiv preprint arXiv:1805.09556},
  year   = {2018}
}