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|Type:||Artigo de periódico|
|Title:||Analyticity and Smoothing Effect for the Coupled System of Equations of Korteweg-de Vries Type with a Single Point Singularity|
|Abstract:||Using Bourgain spaces and the generator of dilation P=3t a, (t) +x a, (x) , which almost commutes with the linear Korteweg-de Vries operator, we show that a solution of the initial value problem associated for the coupled system of equations of Korteweg-de Vries type which appears as a model to describe the strong interaction of weakly nonlinear long waves, has an analyticity in time and a smoothing effect up to real analyticity if the initial data only have a single point singularity at x=0.|
|Citation:||Acta Applicandae Mathematicae. Springer, v. 113, n. 1, n. 75, n. 100, 2011.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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