On Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients
Analysis of PDEs
2019-04-24 v1
Abstract
The global equi-continuity estimate on Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients is established when obstacles are merely continuous. The existence of Lp-viscosity solutions is established via an approximation of given data. The local H\"older continuity estimate on the first derivative of Lp-viscosity solutions is shown when the obstacles belong to C^{1,\beta}, and p>n.
Cite
@article{arxiv.1904.10121,
title = {On Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients},
author = {Shigeaki Koike and Shota Tateyama},
journal= {arXiv preprint arXiv:1904.10121},
year = {2019}
}