Partial analyticity and nodal sets for nonlinear elliptic systems
Analysis of PDEs
2015-06-23 v1
Abstract
We study partial analyticity of solutions to elliptic systems and analyticity of level sets of solutions to nonlinear elliptic systems. We consider several applications, including analyticity of flow lines for bounded stationary solutions to the 2-d Euler equation, and analyticity of water waves with and without surface tension.
Keywords
Cite
@article{arxiv.1506.06224,
title = {Partial analyticity and nodal sets for nonlinear elliptic systems},
author = {Herbert Koch and Nikolai Nadirashvili},
journal= {arXiv preprint arXiv:1506.06224},
year = {2015}
}
Comments
34 pages