We consider the focusing L 2-critical half-wave equation in one space dimension, i\partial_t
u= D u-| u|^ 2 u, where D denotes the first-order fractional derivative. Standard arguments …

We consider the mass critical two dimensional nonlinear Schrödinger equation (NLS) i∂
tu+∆ u+| u| 2 u= 0, t∈ R, x∈ R 2. Let Q denote the positive ground state solitary wave …

An inhomogeneous nonlinear Schrödinger equation is considered, which is invariant under
L2-scaling. The sharp condition for global existence of H1-solutions is established, involving …

We establish the classification of minimal mass blow-up solutions of the $ L^ 2$ critical
inhomogeneous nonlinear Schr\" odinger equation\[i\partial_t u+\Delta u+| x|^{-b}| u|^{\frac {4 …

Minimal mass blow up solutions for a double power nonlinear Schrödinger equation Page 1
Rev. Mat. Iberoam. 32 (2016), no. 3, 795–833 doi 10.4171/rmi/899 c European Mathematical …

We consider the nonlinear Schrödinger equation i∂ tu+ Δ u+ u| u| p− 1= 0 in dimension N≥
2 and in the mass supercritical and energy subcritical range 1+ 4 N< p< min {N+ 2 N− 2, 5} …

We construct a minimal mass blow up solution of the modified Benjamin–Ono equation
(mBO) mBO u_ t+(u^ 3-D^ 1 u) _ x= 0, ut+(u 3-D 1 u) x= 0, which is a standard mass critical …

and in revised form September 4, 2014 Abstract. We consider the mass critical (gKdV)
equation ut+(uxx+ u5) x= 0 for initial data in H1. We first prove the existence and uniqueness …

We study minimal mass blow-up solutions of the focusing L 2 critical nonlinear Schrödinger
equation with inverse-square potential, i∂ t u+ Δ u+ c| x| 2 u+| u| 4 N u= 0, with N≥ 3 and 0< …

This paper is dedicated to the blow-up solution for the divergence Schr\"{o} dinger equations
with inhomogeneous nonlinearity (dINLS for short)\[i\partial_tu+\nabla\cdot (| x|^ b\nabla u) …