Partial Regularity of Solutions to the Second Boundary Value Problem for Generated Jacobian Equations
Analysis of PDEs
2018-10-18 v4
Abstract
We prove that outside of a closed singular set of measure zero solutions to the second boundary value problem for generated Jacobian equations are smooth.
Keywords
Cite
@article{arxiv.1609.09680,
title = {Partial Regularity of Solutions to the Second Boundary Value Problem for Generated Jacobian Equations},
author = {Yash Jhaveri},
journal= {arXiv preprint arXiv:1609.09680},
year = {2018}
}
Comments
This version corrects an error in the published manuscript. The generating function must be $C^{2,\alpha}$ to begin with, not $C^2$. Corresponding changes made throughout