Well-posedness in energy space for the periodic modified Benjamin-Ono equation

2 Key words; anyon, Haldane statistics, low temperature kinetic theory, quantum Boltzmann equation.... Here dω corresponds to the Lebesgue probability measure on

In [18] this approach combined with estimates in Bourgain type spaces leads to a global well-posedness result in the energy space H 1/2 ( T ).. For a Banach space X, we denote by k ·

Molinet, Global well-posedness in the energy space for the Benjamin-Ono equation on the circle, Math. Molinet, Global well-posedness in L 2 for the periodic Benjamin-Ono

We give some sufficient conditions in order that the uniqueness and comparison properties hold for the associated solutions; these conditions are expressed in terms of the moduli

It is thus not evident to prove the uniform in ε wellposedness of the BOB equation in low regularity spaces and , as a consequence, to study its inviscid limit behavior.. However,

Well-posedness results for the generalized Benjamin-Ono equation with arbitrary large initial data. Well-posedness results for the generalized Benjamin-Ono equation with small

Sharp well-posedness results for the generalized Benjamin- Ono equation with high nonlinearity, 2007.

Well-posedness for the generalized Benjamin-Ono equations with arbitrary large initial data in the critical space... Well-posedness for the generalized Benjamin-Ono equations