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July  2009, 25(2): 617-626. doi: 10.3934/dcds.2009.25.617

Analyticity of the nonlinear scattering operator

Benoît Pausader 1, and  Walter A. Strauss 1,

1. 

Department of Mathematics, Brown University, Providence, RI 02912, United States, United States

Received  March 2008 Revised  April 2009 Published  June 2009

We present a new and simpler proof that the nonlinear scattering operator $\S$ is analytic on energy space. We apply it in particular to a fourth-order nonlinear wave equation in Rn. In addition, we prove that $\S$ determines the scatterer uniquely and that for small powers there is no scattering.
Keywords: NLS, nonlinear beam equation, analytic operator., Nonlinear scattering, NLKG.
Mathematics Subject Classification: Primary: 74J25, 35P25; Secondary: 35Q7.
Citation: Benoît Pausader, Walter A. Strauss. Analyticity of the nonlinear scattering operator. Discrete & Continuous Dynamical Systems - A, 2009, 25 (2) : 617-626. doi: 10.3934/dcds.2009.25.617
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