279 citations · 1.4k across the 39 of their papers we have counts for
4 papers · 2 filters
Small data scattering for semi-relativistic equations with Hartree type nonlinearity
Sebastian Herr, Achenef Tesfahun
We prove that the initial value problem for the equation \[ - i\partial_t u + \sqrt{m^2-Δ} \, u= (\frac{e^{-μ_0 |x|}}{|x|} \ast |u|^2)u \ \text{in} \ \mathbb R^{1+3}, \quad m\ge 0,…
The Gross-Pitaevskii hierarchy on general rectangular tori
Sebastian Herr, Vedran Sohinger
In this work, we study the Gross-Pitaevskii hierarchy on general --rational and irrational-- rectangular tori of dimension two and three. This is a system of infinitely many linear…
On global well-posedness and scattering for the massive Dirac-Klein-Gordon system
Ioan Bejenaru, Sebastian Herr
We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small initial data of subcritical regularity in dimension three. To achieve this, we im…
The energy-critical nonlinear Schrödinger equation on a product of spheres
Sebastian Herr, Nils Strunk
Let be a compact smooth -dimensional Riemannian manifold without boundary. It is proved that the energy-critical nonlinear Schrödinger equation is globally well-posed fo…