Nonrelativistic Limit of Scattering Theory for Nonlinear Klein–Gordon Equations

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Abstract:

We study the nonrelativistic limit of the nonlinear Klein–Gordon equation and prove that the wave operators, the inverses of them, and the scattering operator for the naturally modulated equation converge to those for the singular limit, the nonlinear Schr√∂dinger equation.¬© 2002 Elsevier Science (USA).

Document Type: Research Article

Affiliations: Department of Mathematics, Kobe University, Rokko, Kobe, 657-8501, Japan

Publication date: April 1, 2002

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