ar X iv : a st ro - p h / 05 02 35 6 v 2 1 5 M ar 2 00 5 From the Laurent - series Solutions of Nonintegrable Systems to the Elliptic Solutions of them

ar X iv : a st ro - p h / 05 02 35 6 v 1 1 7 Fe b 20 05 From the Laurent - series Solutions of Nonintegrable Systems to the Elliptic Solutions of them

The Painlevé test is very useful to construct not only the Laurent-series solutions but also the elliptic and trigonometric ones. Such single-valued functions are solutions of some polynomial first order differential equations. The standard methods for the search of the elliptic solutions consist of two independent steps: transformation of a nonlinear polynomial differential equation into a non...

ar X iv : m at h / 05 02 50 5 v 3 [ m at h . A P ] 1 6 A ug 2 00 5 Some Remarks on Strichartz Estimates for Homogeneous Wave Equation ∗

We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of Lx estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L4tL ∞ x for n = 2.

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 : a st ro - p h / 02 05 37 9 v 1 2 2 M ay 2 00 2 An alternative theoretical approach to describe planetary systems through a Schrödinger - type diffusion equation

In the present work we show that planetary mean distances can be calculated with help of a Schrödinger-type diffusion equation. The obtained results show that the states associated with the asteroid belt are in very good agreement with its outer and inner observed radii. On this basis, a model of condensed states is proposed in order to infer the observed orbits of planets and asteroids in the ...

ar X iv : a st ro - p h / 05 07 06 6 v 1 4 J ul 2 00 5 Multiband Echo Tomography of Sco X - 1