Abstract
We investigate the Cauchy problem for the sixth order p-generalized Benney-Luke equation.The local well-posedness is established in the energy space H1(Rn)∩H3(Rn)for 1 ≤ n ≤ 10,by means of the Sobolev multiplication law and the contrac-tion mapping principle.Moreover,we establish the energy identity of solutions and provide the sufficient conditions of the global existence of solutions by analyzing the properties of the energy functional.
基金项目
国家自然科学基金(12301272)
河南省自然科学基金(202300410109)
Cultivation Programme for Young Backbone Teachers in Henan University of Technology()
Innovative Funds Plan of Henan University of Technology(2020ZKCJ09)
NETL
NSTL
万方数据