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Analyticity of the scattering operator for the nonlinear Klein-Gordon equation with cubic nonlinearity

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Abstract

The wave and scattering operators for the equation

$$\left( {\square + m^2 } \right)\varphi + \lambda \varphi ^2 = 0$$

withm>0 and λ>0 on four-dimensional Minkowski space are analytic on the space of finite-energy Cauchy data, i.e.L 12 (R 3)⊕L 2(R 3).

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Authors and Affiliations

  1. Department of Mathematics, Chalmers University of Technology, S-41296, Göteborg, Sweden

    Peter Kumlin

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  1. Peter Kumlin
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Communicated by A. Jaffe

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Kumlin, P. Analyticity of the scattering operator for the nonlinear Klein-Gordon equation with cubic nonlinearity. Commun.Math. Phys. 144, 257–278 (1992). https://doi.org/10.1007/BF02101092

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  • DOI: https://doi.org/10.1007/BF02101092

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