LOW REGULARITY WELL-POSEDNESS FOR GROSS-NEVEU EQUATIONS.
H Huh, B Moon - Communications on Pure & Applied …, 2015 - search.ebscohost.com
H Huh, B Moon
Communications on Pure & Applied Analysis, 2015•search.ebscohost.comWe address the problem of local and global well-posedness of Gross-Neveu (GN) equations
for low regularity initial data. Combined with the standard machinery of X< sub> R, Y< sub>
R and X< sup> s, b spaces, we obtain local-wellposedness of (GN) for initial data u, v∈ H<
sup> s with s≥ 0. To prove the existence of global solution for the critical space L², we show
non concentration of L² norm.
for low regularity initial data. Combined with the standard machinery of X< sub> R, Y< sub>
R and X< sup> s, b spaces, we obtain local-wellposedness of (GN) for initial data u, v∈ H<
sup> s with s≥ 0. To prove the existence of global solution for the critical space L², we show
non concentration of L² norm.
Abstract
We address the problem of local and global well-posedness of Gross-Neveu (GN) equations for low regularity initial data. Combined with the standard machinery of XR, YR and Xs, b spaces, we obtain local-wellposedness of (GN) for initial data u, v∈ Hs with s≥ 0. To prove the existence of global solution for the critical space L², we show non concentration of L² norm.
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