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

Ezzeddine Zahrouni

doi:10.3934/cpaa.2003.2.391

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2003, Volume 2, Issue 3: 391-410. Doi: 10.3934/cpaa.2003.2.391

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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

Received: October 2002

Revised: April 2003

Published: September 2003

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Abstract

We derive new Lyapunov functions not arising from energy norm for global solutions of Generalized Burgers Equation with initial data in homogeneous Besov spaces.

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Mathematics Subject Classification: 35K55, 76D03, 35B40.

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