%0 Unpublished work
%T Partial analyticity and nodal sets for nonlinear elliptic systems
%+ Rheinische Friedrich-Wilhelms-Universität Bonn
%+ Institut de Mathématiques de Marseille (I2M)
%A Koch, Herbert
%A Nadirashvili, Nikolai
%Z 34 pages
%8 2015-06-20
%D 2015
%Z 1506.06224
%K nonlinear elliptic systems
%K analyticity
%K 2-d Euler equation
%K water waves
%Z 35J47
%Z Mathematics [math]/Analysis of PDEs [math.AP]Preprints, Working Papers, ...
%X 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.
%G English
%L hal-01338320
%U https://hal.science/hal-01338320
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ INSMI
%~ I2M
%~ I2M-2014-
%~ TDS-MACS
%~ TEST3-HALCNRS