Remark on the global existence for the generalized benjamin-bona-mahony equations in arbitrary dimension

Abstract

In this Paper, the global existence of the solutions to the initial boundary value problems of GBBm equations in arbitrary dimensional s is further studied . It is proved that when the Nonliner function satisfies some polynomial-like growth bounds, there exists a unique global solution in the space C ([0,∞) ; W^2−PnW^1−P), with max (1, d/2) <p<∞.

Keywords:

• GBBM equation
• global existence
• dispersive system

AMS(MOS)::

• 35Q20