摘要
利用Galerkin方法和改进的势井理论研究一类多维非线性拟双曲方程ut t-△ut-△ut t=β|u|αu的初边值问题,当α满足一定条件时,证明了整体强解的存在唯一性.
The initial-boundary value problem for a class of nonlinear pseudohyperbolic equations utt-△ut-△utt=β｜u｜^αu is studied. The existence and uniqueness of global strong solution are proved by using of Galerkin method and modified potential well theory under conditions.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
2008年第2期166-170,共5页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金资助项目(10471052).
