Globally Lipschitz continuous solutions to a class of quasilinear wave equations (Q883342)
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scientific article; zbMATH DE number 5161140
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Globally Lipschitz continuous solutions to a class of quasilinear wave equations |
scientific article; zbMATH DE number 5161140 |
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Globally Lipschitz continuous solutions to a class of quasilinear wave equations (English)
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4 June 2007
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Considering the Cauchy problem for quasilinear wave equations the authors employ Lax's as well as Glimm's method in order to construct approximate solutions of the corresponding perturbed Riemann problem. Global existence is established for the derivatives of the solutions and existence of global Lipschitz continuous solutions can be proven.
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perturbed Riemann problem
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Lax's method
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generalized Glimm's method
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0.92916167
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