Analyticity and smoothing effect for the coupled system of equations of Korteweg-de vries type with a single point singularity

dc.creatorAlves, Margareth S.
dc.creatorCalsavara, Bianca M. R.
dc.creatorRivera, Jaime E. Muñoz
dc.creatorSepúlveda, Mauricio
dc.creatorVillagrán, Octavio Vera
dc.date2018-09-06T12:58:35Z
dc.date2018-09-06T12:58:35Z
dc.date2011-01
dc.date.accessioned2023-09-27T21:49:38Z
dc.date.available2023-09-27T21:49:38Z
dc.identifier15729036
dc.identifierhttps://doi.org/10.1007/s10440-010-9586-2
dc.identifierhttp://www.locus.ufv.br/handle/123456789/21678
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8966719
dc.descriptionUsing Bourgain spaces and the generator of dilation P=3t ∂ t +x ∂ 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.
dc.formatpdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherActa Applicandae Mathematicae
dc.relationv. 113, n. 1, p. 75– 100, january 2011
dc.rightsSpringer Science+Business Media B.V.
dc.subjectEvolution equations
dc.subjectBourgain space
dc.subjectSmoothing effect
dc.titleAnalyticity and smoothing effect for the coupled system of equations of Korteweg-de vries type with a single point singularity
dc.typeArtigo


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