The $\infty(x)$-equation in Riemannian Vector Fields
Analysis of PDEs
2015-09-08 v1 Differential Geometry
Metric Geometry
Optimization and Control
Abstract
We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of viscosity solutions to the -Laplace equation in Riemannian vector fields. Due to the differences between Euclidean jets and Riemannian jets, the Euclidean method of proof is not valid in this environment.
Cite
@article{arxiv.1509.01974,
title = {The $\infty(x)$-equation in Riemannian Vector Fields},
author = {Thomas Bieske},
journal= {arXiv preprint arXiv:1509.01974},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1509.01969