July  2009, 8(4): 1401-1419. doi: 10.3934/cpaa.2009.8.1401

Global existence for a forced dispersive dissipative equation via the I-method

1. 

Laboratoire Analyse, Géométrie et Applications, Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France

Received  July 2008 Revised  November 2008 Published  March 2009

In this paper, we first investigate the Korteweg-de Vries-Burgers (KdV-Burgers) equation with low regularity external force $f$, where $f$ is a space-time function. We show that we can adapt the I-method to study the global well-posedness of our problem on a Sobolev space of negative index when a low regularity space-time external force occurs.
Citation: Bassam Kojok. Global existence for a forced dispersive dissipative equation via the I-method. Communications on Pure & Applied Analysis, 2009, 8 (4) : 1401-1419. doi: 10.3934/cpaa.2009.8.1401
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