Full paper in PDF:
$%T. Goudon and M. Saad, On a Fokker-Planck equation arising in population dynamics, Rev. Mat. Complut. 11 (1998), no. 2, 353–372.%$

On a Fokker-Planck Equation Arising in Population Dynamics
Thierry GOUDON and Mazen SAAD
Mathématique Appliquées de Bordeaux
CNRS — Université Bordeaux I
351 cours de la Libération
F-33405 Talence Cedex — France
Labo. J. A. Dieudonné, UMR 6621
Université Nice-Sophia Antipolis
Parc Valrose
F-06108 Nice Cedex 02 — France

Received: June 24, 1997
Revised: March 1, 1998
ABSTRACT

This paper is devoted to a Fokker-Planck equation arising in population dynamics. For general non negative initial data 1 u0 (- L (_O_) , we prove the existence of a weak non negative and mass-preserving solution belonging to q L (0,T ;W 1,q(_O_)) for all 1< q <4/3 .

1991 Mathematics Subject Classification: 45K05, 92D25, 35K22, 35K55, 35Q80.