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Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions

Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions

It is shown that the supremum norms of the solutions with small initial data of the generalized Benjamin-Bona-Mahony equation Ut -Llut = (b, "Vu) +uP ( a, "Vu) in x E IR 2 , t E JR+, where 0 ::/; b, a E IR 2 , p ~ 3 is …