From the 1 of 4 linked papers with an AI index.
4 papers
Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations
Sebastian Herr, Seokchang Hong
The paper establishes endpoint Strichartz estimates for half Klein‑Gordon equations on weakly asymptotically flat spacetimes and uses them to prove small‑data global well‑posedness…
Decay of solutions of nonlinear Dirac equations: the 2D case
Sebastian Herr, Christopher Maulén, Claudio Muñoz
We study the long-time behavior of small solutions for a broad class of 2D Dirac-type equations with suitable nonlinearities. First, we prove that for nonlinearities with power $p\…
Decay of solutions of nonlinear Dirac equations
Sebastian Herr, Christopher Maulén, Claudio Muñoz
We study the long-time behavior of small and large solutions to a broad class of nonlinear Dirac-type equations. Our results are classified in 1D massless and massive cases, 3D gen…
Existence of martingale solutions to a stochastic kinetic model of chemotaxis
Benjamin Gess, Sebastian Herr, Anne Niesdroy
We show the existence of local and global in time weak martingale solutions for a stochastic version of the Othmer-Dunbar-Alt kinetic model of chemotaxis under suitable assumptions…