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September  2003, 2(3): 391-410. doi: 10.3934/cpaa.2003.2.391

On the Lyapunov functions for the solutions of the generalized Burgers equation

Ezzeddine Zahrouni 1,

1. 

Department de Mathematiques, Faculte des Sciences de Monastir , 5000 MONASTIR, Tunisia

Received  October 2002 Revised  April 2003 Published  June 2003

We derive new Lyapunov functions not arising from energy norm for global solutions of Generalized Burgers Equation with initial data in homogeneous Besov spaces.
Keywords: smoothness, Besov spaces, Lyapunov functions., global existence, generalized Burgers equation.
Mathematics Subject Classification: 35K55, 76D03, 35B4.
Citation: Ezzeddine Zahrouni. On the Lyapunov functions for the solutions of the generalized Burgers equation. Communications on Pure & Applied Analysis, 2003, 2 (3) : 391-410. doi: 10.3934/cpaa.2003.2.391
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