Analyticity of the scattering operator for the nonlinear Klein-Gordon equation with cubic nonlinearity |
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| Authors: | Peter Kumlin |
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| Institution: | 1. Department of Mathematics, Chalmers University of Technology, S-41296, G?teborg, Sweden
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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 2 1 (R 3)⊕L 2(R 3). |
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