On a generalized trilinear estimate and an application for a model dissipative-dispersive (Q1928348)
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scientific article; zbMATH DE number 6121421
| Language | Label | Description | Also known as |
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| English | On a generalized trilinear estimate and an application for a model dissipative-dispersive |
scientific article; zbMATH DE number 6121421 |
Statements
On a generalized trilinear estimate and an application for a model dissipative-dispersive (English)
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3 January 2013
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The author proves a generalized trilinear estimate for the unitary group associated to a type of KdV equation, following the ideas of T. Tao on \([k,Z]\)-multipliers. The author presents an application to a nonlinear dispersive dissipative modified Korteweg de Vries equation (mKdV-Burger equation). The author proves a locally well-posedness for this equation.
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well-posedness
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linear estimate
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KdV type equation
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a priori estimate
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