Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the real line caseReport as inadecuate




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1 LMPT - Laboratoire de Mathématiques et Physique Théorique 2 LAGA - Laboratoire Analyse, Géométrie et Applications

Abstract : We complete the known results on the local Cauchy problem in Sobolev spaces for the KdV-Burgers equation by proving that this equation is well-posed in $ H^{-1}\R $ with a solution-map that is analytic from $H^{-1}\R $ to $C0,T;H^{-1}\R$ whereas it is ill-posed in $ H^s\R $, as soon as $ s



Author: Luc Molinet - Stéphane Vento -

Source: https://hal.archives-ouvertes.fr/



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