Separation and symmetry on two dimensional manifolds
Analysis of PDEs
2021-12-28 v2
Abstract
We introduce notions of a separated solution and of a simple symmetry that generates a differential operator on a smooth manifold. We prove that a differential operator on a two dimensional manifold has a separated solution if it has a homogeneous simple symmetry of degree one which does not generate the operator.
Cite
@article{arxiv.2112.09945,
title = {Separation and symmetry on two dimensional manifolds},
author = {Štěpán Hudeček and Svatopluk Krýsl},
journal= {arXiv preprint arXiv:2112.09945},
year = {2021}
}
Comments
10 pages