A remark on global smooth solutions for quasilinear wave equations (Q1332491)
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scientific article; zbMATH DE number 627419
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on global smooth solutions for quasilinear wave equations |
scientific article; zbMATH DE number 627419 |
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A remark on global smooth solutions for quasilinear wave equations (English)
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9 October 1994
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Summary: Following a result of S. Klainerman, we prove the existence of global smooth solutions in \(\mathbb{R}_ t\times \mathbb{R}_ x^ n\) for quasilinear wave equations with small initial data which are periodic in at most \(n- 2\) variables. The proof is based on suitable decay estimates for partially periodic solutions of the homogeneous wave equation.
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global smooth solutions
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decay estimates
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0.9372431
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0.9294316
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0.92220247
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0.9203306
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0.9189763
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0.91752344
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0.9138213
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