Well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices
Xavier Carvajal
Abstract
We prove that, the initial value problem associated to ut + iαuxx + βuxxx + iγ|u|2u = 0, x,t ∈ R, is locally well-posed in Sobolev spaces Hs for s>-1/4.
Create a lesson
Related papers
A Riesz-Map Preconditioned Extragradient Method for Price Formation in Mean Field Games
Yeva Gevorgyan, Diogo Gomes
An Aleksandrov estimate for kinetic equations with rough coefficients
Amĺie Loher, Connor Mooney, Clément Mouhot et al.
The Inviscid Limit in Uniformly Local Yudovich Spaces
Zachary Radke
Ground states and sharp logarithmic Sobolev inequalities for logarithmic Schrödinger equations with partial confinement
Baihong Li, Jarosław Mederski, Xiangjian Zeng
Existence and large-field asymptotics of Hopfions in a continuum model of frustrated magnets
Glal Bacho, Christof Melcher
Existence and uniqueness of bound states with prescribed number of nodes for nonlinear dispersive equations on spherically symmetric manifolds
Valentino Badalucco