ar X iv : m at h / 05 05 46 8 v 1 [ m at h . A P ] 2 3 M ay 2 00 5 INSTABILITY FOR SEMI - CLASSICAL SCHRÖDINGER EQUATIONS

ar X iv : m at h / 05 05 46 8 v 2 [ m at h . A P ] 2 2 A ug 2 00 5 INSTABILITY FOR SEMI - CLASSICAL SCHRÖDINGER EQUATIONS

Using WKB methods for very small times, we prove some instability phenomena for semi-classical (linear or) nonlinear Schrödinger equations. The main step of the analysis consists in reducing the problem to an ordinary differential equation. The solution to this o.d.e. is explicit, and the instability mechanism is due to the presence of the semi-classical parameter. For nonlin-ear equations, our...

ar X iv : m at h / 06 05 35 5 v 1 [ m at h . G R ] 1 3 M ay 2 00 6 Axes in Outer Space

ar X iv : h ep - p h / 03 05 16 5 v 1 1 5 M ay 2 00 3 The rise and fall of F 2 at low x

A short personal account is given of the impact of HERA data and the influence of Jan Kwiecinski on low x physics.

ar X iv : a st ro - p h / 05 05 55 5 v 1 2 7 M ay 2 00 5 Pulsars as Tools for Fundamental Physics & Astrophysics

X iv :a st ro -p h/ 05 05 55 5v 1 2 7 M ay 2 00 5 Pulsars as Tools for Fundamental Physics & Astrophysics J. M. Cordes, M. Kramer, T. J. W. Lazio , B. W. Stappers, D. C. Backer, S. Johnston Department of Astronomy and NAIC, Cornell University, Ithaca, NY USA University of Manchester, Jodrell Bank Observatory, Jodrell Bank, UK Naval Research Laboratory, Remote Sensing Division, Washington, DC US...

ar X iv : m at h / 06 05 37 9 v 1 [ m at h . R A ] 1 5 M ay 2 00 6 AN EXTENDED FREUDENTHAL MAGIC SQUARE IN CHARACTERISTIC 3

Date: May 15, 2006. 2000 Mathematics Subject Classification. Primary 17B25.