4 papers
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\…
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…
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…
Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations
Sebastian Herr, Seokchang Hong
The aim of this paper is to establish the -endpoint Strichartz estimate for (half) Klein-Gordon equations on a weakly asymptotically flat space-time. As an application we pr…