In this paper, we consider the Maxwell-Dirac system in 3 dimension under zero magnetic
field. We prove the global well-posedness and modified scattering for small solutions in the …

In this paper we study the small-data scattering of the d dimensional fractional $ Schr {\ddot
{o}} dinger $ equations with d= 2, 3, $ L {\acute {e}} vy $ index 1< ${\alpha} $< 2 and Hartree …

In this paper we study the small-data scattering of Hartree type fractional Schrödinger
equations in space dimension 2, 3. It has Lévy index a between 1 and 2, and Hartree type …

We study the Cauchy problem for the higher-order nonlinear 3D Hartree-type equation {i ∂
_ t u+ 1 2 Δ u-1 4 Δ^ 2 u=\left (\left| x\right|^-1*\left| u\right|^ 2\right) u, &\quad t> 0, x ∈ R …

Esta tesis tiene como objetivo estudiar condiciones suficientes para la existencia, unicidad,
representación (explıcita e implıcita) y regularidad de soluciones para una cierta clase de …

The aim of this work is to advance the understanding for the long-time behavior of solutions
to the Dirac–Maxwell system in three space dimensions. In quantum electrodynamics (QED) …