Remark on the Global Existence for the Generalized Benjamin-Bona-Mahony Equations in Arbitrary Dimension.

摘要

In this paper, the global existence of the solutions to the initial boundary value problems of GBBM equations in arbitrary dimension d is further studied. It is proved that when the nonlinear function satisfies some polynomial-like growth bounds, there exists a unique global solution in the space C((O, infinity); W/sup 2,p/(G) intersection W/sup 1,p/(G)), with max(1,d2) < p < infinity. (author). 6 refs. (Atomindex citation 19:052342)