Analyticity of the nonlinear scattering operator

Benoît Pausader; Walter A. Strauss

doi:10.3934/dcds.2009.25.617

Article Contents

2009, Volume 25, Issue 2: 617-626. Doi: 10.3934/dcds.2009.25.617

This issue Previous Article Markov partitions reflecting the geometry of $\times2$, $\times3$ Next Article Asymptotic behavior of solutions of a free boundary problem modelling the growth of tumors with Stokes equations

Analyticity of the nonlinear scattering operator

Benoît Pausader^1, and
Walter A. Strauss^1,

1.
Department of Mathematics, Brown University, Providence, RI 02912

Received: March 2008

Revised: April 2009

Published: June 2009

Abstract Related Papers Cited by

Abstract

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:

Mathematics Subject Classification: Primary: 74J25, 35P25; Secondary: 35Q72.

Citation:

Article Metrics

HTML views() PDF downloads(117) Cited by(0)

Analyticity of the nonlinear scattering operator

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Analyticity of the nonlinear scattering operator

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content