9 citations · 21 across the 4 of their papers we have counts for
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Periodic Hölder waves in a class of negative-order dispersive equations
Fredrik Hildrum, Jun Xue
We prove the existence of highest, cusped, periodic travelling-wave solutions with exact and optimal -Hölder continuity in a class of fractional negative-order dispersive equat…
One-sided Hölder regularity of global weak solutions of negative order dispersive equations
Ola I. H. Maehlen, Jun Xue
We prove global existence, uniqueness and stability of entropy solutions with initial data for a general family of negative order dispersive equations. It is fur…
Optimal small data Scattering for the generalized derivative nonlinear Schrödinger equations
Ruobing Bai, Yifei Wu, Jun Xue
In this work, we consider the following generalized derivative nonlinear Schrödinger equation \begin{align*} i\partial_t u+\partial_{xx} u +i |u|^{2σ}\partial_x u=0, \quad (t,x)\in…
Instability of the solitary waves for the generalized Boussinesq equations
Bing Li, Masahito Ohta, Yifei Wu +1
In this work, we consider the following generalized Boussinesq equation \begin{align*} \partial_{t}^2u-\partial_{x}^2u+\partial_{x}^2(\partial_{x}^2u+|u|^{p}u)=0,\qquad (t,x)\in\ma…