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20052009
most citedGlobal well-posedness for the KP-I equation on the background of a non localized solution

59 citations · 95 across the 6 of their papers we have counts for

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math.AP2006★ 59 cited

Global well-posedness for the KP-I equation on the background of a non localized solution

Luc Molinet, Jean-Claude Saut, Nikolay Tzvetkov

We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not de…

math.AP2006★ 35 cited

Remarks on the mass constraint for KP type equations

Luc Molinet, Jean-Claude Saut, Nikolay Tzvetkov

For a rather general class of equations of Kadomtsev-Petviashvili (KP) type, we prove that the zero-mass (in ) constraint is satisfied at any non zero time even if it is not sat…

math.AP2006

Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle

Luc Molinet, Francis Ribaud

We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in $ H^1(\T) $. This leads to a global well-posedness result in $ H^1(\T)$…

math.AP2006

Global well-posedness in L^2 for the periodic Benjamin-Ono equation

Luc Molinet

We prove that the Benjamin-Ono equation is globally well-posed in $ H^s(\T) $ for . Moreover we show that the associated flow-map is Lipschitz on every bounded set of $ {…