Well-posedness issues for the generalized Benjamin--Bona--Mahony equation

Seunghyun Kim, Chulkwang Kwak

In this paper, we consider the one-dimensional generalized Benjamin--Bona--Mahony (gBBM) equation \[(1-\partial_x^2)u_t+(u+u^p)_x=0,\qquad p=2,3,4,\dots,\] posed either on the real…