We study the threshold behavior of two-dimensional Schrödinger operators with finitely
many local point interactions. We show that the resolvent can either be continuously …

We study existence and stability properties of ground-state standing waves for two-
dimensional nonlinear Schrödinger equation with a point interaction and a focusing power …

We study a class of periodic Schrödinger operators, which in distinguished cases can be
proved to have linear band-crossings or “Dirac points”. We then show that the introduction of …

This paper is dedicated to investigating the Lp-bounds of wave operators W. H; 2/associated
with fourth-order Schrödinger operators HD 2 CV on R3 with real potentials satisfying jV. x/j …

Nonlinear dispersive waves are wave phenomena resulting from the interacting effects of
nonlinearity and dispersion. Dispersion refers to the property that waves of different …

We prove a structure formula for the wave operators in ${\Bbb R}^ 3$$ W_ {\pm}=\mathop
{\hbox {s-lim}}\limits_ {t\to\pm\infty} e^{it (-\Delta+ V)} P_c e^{it\Delta} $$ and their adjoints for …

-Boundedness of Wave Operators for the Three-Dimensional Multi-Centre Point Interaction
Page 1 Ann. Henri Poincaré 19 (2018), 283–322 c© 2017 Springer International Publishing AG …

This paper is devoted to establishing several types of L p-boundedness of wave operators
W±= W±(H, Δ 2) associated with the bi-Schrödinger operators H= Δ 2+ V (x) on the line R …

We study a class of two-dimensional nonlinear Schrödinger equations with point-like
singular perturbation and Hartree non-linearity. The point-like singular perturbation of the …

Backflow is the phenomenon that the probability current of a quantum particle on the line
can flow in the direction opposite to its momentum. In this paper, previous investigations of …