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摘要
This paper deals with the Cauchy problem for a generalized Novikov equation u(t) - u(xxt) + (b + 1)u(2)u(x) = buu(x)u(xx) + u(2)u(xxx), where b is a constant. The local well-posedness in the critical Besov space B-2,1(3/2) is established. Moreover, a lower bound for the maximal existence time and lower semicontinuity of the existence are derived, the multi-peakon solutions are also obtained. Finally, the persistence properties in weighted spaces for the solution of this equation are considered.
- 出版日期2013-11-25
- 单位重庆师范大学
