Regularity for Hamiltonian stationary equations in $\mathbb{R}_{n\leq 4}^{n}$
Analysis of PDEs
2025-04-30 v1 Differential Geometry
Abstract
In this paper, we study the regularity of solutions to the Hamiltonian stationary equation in complex Euclidean space. We show that in dimensions , for all values of the Lagrangian phase, any solution is smooth and derive a estimate for it, where .
Keywords
Cite
@article{arxiv.2504.18013,
title = {Regularity for Hamiltonian stationary equations in $\mathbb{R}_{n\leq 4}^{n}$},
author = {Arunima Bhattacharya},
journal= {arXiv preprint arXiv:2504.18013},
year = {2025}
}