摘要
对一类抛物型方程的混合边值问题弱解的存在性和正则性进行了讨论.利用Lions定理建立抛物型方程混合边值问题弱解的存在性定理,然后在弱解存在的基础上利用差商方法,通过讨论弱解的导数所属空间来证明弱解的正则性.
The existence of the weak solution and the regularity of the parabolic equations with the mixed boundary value problem are discussed. By using Lions theorem to establish parabolic equation weak solution of mixed boundary value problem existence theorems of weak solutions, then in existence on the basis of using difference quotient method through discussion of weak solution of derivative of space to prove the regularity of weak solutions.
出处
《昆明学院学报》
2012年第6期22-24,共3页
Journal of Kunming University
关键词
抛物型方程
弱解
存在性
正则性
差商
Lions定理
parabolic equations
weak solution
existence
regularity
difference quotient
theorem of Lions
