Results 131 to 140 of about 59,515 (231)

Well-posedness for the NLS hierarchy

open access: yesJournal of Evolution Equations
AbstractWe prove well-posedness for higher-order equations in the so-called NLS hierarchy (also known as part of the AKNS hierarchy) in almost critical Fourier–Lebesgue spaces and in modulation spaces. We show the jth equation in the hierarchy is locally well-posed for initial data in $${{\hat{H}}}^s_r({\mathbb {R}})$$
openaire   +2 more sources

Global Well-Posedness for Schrödinger Equations with Derivative [PDF]

open access: green, 2001
J. Colliander   +4 more
openalex   +3 more sources

Well-posedness of one-dimensional Korteweg models

open access: yesElectronic Journal of Differential Equations, 2006
We investigate the initial-value problem for one-dimensional compressible fluids endowed with internal capillarity. We focus on the isothermal inviscid case with variable capillarity.
Sylvie Benzoni-Gavage   +2 more
doaj  

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