A note on the density of the partial regularity result in the class of viscosity solutions
Analysis of PDEs
2020-10-29 v1
Abstract
We establish the density of the partial regularity result in the class of continuous viscosity solutions. Given a fully nonlinear equation, we prove the existence of a sequence entitled to the partial regularity result, approximating its solutions. Distinct conditions on the operator driving the equation lead to density in different topologies. Our findings include applications to inhomogeneous problems, with variable-coefficients models.
Keywords
Cite
@article{arxiv.2010.15022,
title = {A note on the density of the partial regularity result in the class of viscosity solutions},
author = {Disson dos Prazeres and Edgard A. Pimentel and Giane C. Rampasso},
journal= {arXiv preprint arXiv:2010.15022},
year = {2020}
}