Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations (Q1599267)
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scientific article; zbMATH DE number 1750352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations |
scientific article; zbMATH DE number 1750352 |
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Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations (English)
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2002
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The author studies the nonrelativistic limit of the scattering theory for the nonlinear Klein-Gordon equation. The nonlinearity is given by \(f(u)=|u|^pu\), with \(p>0\). It is shown that the wave operators, their inverses and the scattering operator of the Klein-Gordon system converge to those of nonlinear Schrödinger equation. That means that the time-asymptotic behavior can be described through the nonrelativistic approximation.
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scattering theory
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Klein-Gordon equation
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wave operators
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Schrödinger equation
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0.94373167
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0.94249976
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0.9398116
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0.93317676
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0.9293438
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0.92518437
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