American Institute of Mathematical Sciences

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

Analyticity of the nonlinear scattering operator

 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.
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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