JournalsaihpcVol. 35, No. 6pp. 1707–1717

On the Majorana condition for nonlinear Dirac systems

  • Timothy Candy

    Universität Bielefeld, Fakultät für Mathematik, Postfach 100131, 33501 Bielefeld, Germany

  • Sebastian Herr

    Universität Bielefeld, Fakultät für Mathematik, Postfach 100131, 33501 Bielefeld, Germany
On the Majorana condition for nonlinear Dirac systems cover
Download PDF

Abstract

For arbitrarily large initial data in an open set defined by an approximate Majorana condition, global existence and scattering results for solutions to the Dirac equation with Soler-type nonlinearity and the Dirac–Klein–Gordon system in critical spaces in spatial dimension three are established.

Cite this article

Timothy Candy, Sebastian Herr, On the Majorana condition for nonlinear Dirac systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 6, pp. 1707–1717

DOI 10.1016/J.ANIHPC.2018.02.001