Nonlinear scattering for some dispersive equations generalizing Benjamin-Bona-Mahony equation (Q1921389)
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scientific article; zbMATH DE number 920729
| Language | Label | Description | Also known as |
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| English | Nonlinear scattering for some dispersive equations generalizing Benjamin-Bona-Mahony equation |
scientific article; zbMATH DE number 920729 |
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Nonlinear scattering for some dispersive equations generalizing Benjamin-Bona-Mahony equation (English)
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14 August 1997
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The aim of the paper is to prove scattering of small solution to the nonlinear dispersive equations of the type \(Mu_t+F(u)_x\) generalizing the Benjamin-Bona-Mahony equation. The time decay is established using optimal estimates for the linearized equation and standard techniques from scattering theory.
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stationary phase method
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dispersive equations
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