Global solution of the system of wave and Klein-Gordon equations (Q1119829)
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scientific article; zbMATH DE number 4097919
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global solution of the system of wave and Klein-Gordon equations |
scientific article; zbMATH DE number 4097919 |
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Global solution of the system of wave and Klein-Gordon equations (English)
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1990
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The work is devoted to the proof of a new \(L^{\infty}-L^ 2\) weighted estimate for the linear wave equation. The weighted Sobolev spaces are associated with the Poincaré group in \({\mathbb{R}}^ 4\) only. Application to a nonlinear system of wave and Klein-Gordon equations is given. The nonlinear term of this system is assumed to satisfy a strong version of the null condition of Klainerman.
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weighted estimate
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wave equation
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weighted Sobolev spaces
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Poincare group
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nonlinear system
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Klein-Gordon equations
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null condition of Klainerman
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