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math.AP2023★ 1 cited
A note on the well-posedness in the energy space for the generalized ZK equation posed on
Luiz Gustavo Farah, Luc Molinet
In this note, we prove the local well-posedness in the energy space of the -generalized Zakharov-Kuznetsov equation posed on $ \R\times \T $ for any power non-linearity $ k\ge 2…
math.AP2023
Blow-up for the 3D intercritical inhomogeneous NLS with inverse-square potential
Luccas Campos, Mykael Cardoso, Luiz Gustavo Farah
In this paper we study the focusing inhomogeneous 3D nonlinear Schrödinger equation with inverse-square potential in the mass-supercritical and energy-subcritical regime. We first…