Global existence for systems of nonlinear wave equations in 3D with multiple speeds (Q2753557)
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scientific article; zbMATH DE number 1670360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence for systems of nonlinear wave equations in 3D with multiple speeds |
scientific article; zbMATH DE number 1670360 |
Statements
11 November 2001
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null condition
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nondivergence form nonlinearities
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Global existence for systems of nonlinear wave equations in 3D with multiple speeds (English)
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The authors study the Cauchy problem for coupled systems of quasilinear wave equations in three space dimensions with different propagation speeds. An additional set of weighted \(L^2\) estimates is used to obtain a viable \(L^\infty-L^2\) estimate for solutions. The results are applied to nondivergence form nonlinearities which may contain both spatial and temporal derivatives and satisfy the null condition.
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