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arxiv: 1506.06224 · v1 · pith:CESOIL3Ynew · submitted 2015-06-20 · 🧮 math.AP

Partial analyticity and nodal sets for nonlinear elliptic systems

Herbert Koch , Nikolai Nadirashvili This is my paper
classification 🧮 math.AP
keywords analyticityellipticsolutionssystemsnonlinearpartialsetsapplications
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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.

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