摘要
考虑一类具有变指数伪抛物型方程的第一初边值问题.对于一般光滑区域Ω,先通过Galerkin方法构造问题的逼近解,然后在参数满足一定条件下利用能量估计方法得到逼近解的一致性先验估计,进而证明该类问题弱解的存在唯一性.
We studied the first initial and boundary value problems for a class of pseudo-parabolic equations with variable exponent in a smooth domain Ω. Firstly, we constructed the approximate solutions through Galerkin method, then under some conditions limited on the parameter, using energy method, we obtained the uniform estimates for the approximate solutions. At last, using the above estimate, we gave the existence and uniqueness result for the original problem.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2014年第4期641-646,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10971080)
关键词
伪抛物型方程
变指数
存在唯一性
pseudo-parabolic equations
variable exponent
existence and uniqueness