IJPAM: Volume 76, No. 5 (2012)

ASYMPTOTIC PROPERTY OF GLOBAL SOLUTION
FOR SOME MULTIDIMENSIONAL BBM EQUATIONS

Yaojun Ye
Department of Mathematics and Information Science
Zhejiang University of Science and Technology
Hangzhou, 310023, P.R. CHINA


Abstract. The initial-boundary value problem of a class of multidimensional inhomogeneous GBBM equations is studied. The asymptotic property and the continuous dependence on initial value of the solutions for this problem are proved by establishing some estimates of global solutions by means of Gronwall inequality.

Received: December 3, 2011

AMS Subject Classification: 35B40, 35Q53

Key Words and Phrases: multidimensional GBBM equations, initial-boundary value problem, asymptotic property, the solution's continuous dependence on initial value

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 5