For most of the papers listed below there are preprints (which generally differ from the published version) available on the arXiv which can be accessed here .
In Press:
- Martin Hadac, Sebastian Herr and Herbert Koch.
Well-posedness and scattering for the KP-II equation in a critical space.
Ann. I. H. Poincaré - AN (2008), in press, doi:10.1016/j.anihpc.2008.04.002.
Published Journal Articles:
- Sebastian Herr. A note on bilinear estimates and regularity of
flow maps for nonlinear dispersive equations.
Proc. Amer. Math. Soc. 136 (2008), issue 8, 2881-2886, doi:10.1090/S0002-9939-08-09238-1. - Axel Grünrock and Sebastian Herr. Low regularity local well-posedness of the Derivative Nonlinear
Schrödinger Equation with periodic initial data.
SIAM J. Math. Anal. 39 (2008), issue 6, 1890-1920, doi:10.1137/070689139. - Sebastian Herr. Well-posedness for equations of Benjamin-Ono type.
Illinois J. Math. 51 (2007), issue 3, 951-976 . - Sebastian Herr.
On the Cauchy problem for the derivative nonlinear Schrödinger
equation with periodic boundary condition.
Int. Math. Res. Not. 2006 (2006), article ID 96763, 33 pp, doi:10.1155/IMRN/2006/96763.
Other Publications:
- Sebastian Herr. The Kadomtsev-Petviashvili-II equation in critical spaces
(joint work with Martin Hadac and Herbert Koch).
in Carlos E. Kenig, Herbert Koch, Daniel Tataru (editors), Report 44/2007: Nonlinear Waves and Dispersive Equations. Oberwolfach Reports 4 (2007), issue 4, 2623-2625.
- Sebastian Herr. Well-posedness results for dispersive equations with
derivative nonlinearities.
Dissertation, Universität Dortmund (2006).