摘要
考虑一类具变指数退化四阶抛物方程的初边值问题.在一些初值的假定下,基于时间离散化方法构造逼近解,通过对逼近解的一致性估计,证明了弱解的存在性.
In this paper, we consider an initial-boundary value problem for a class of fourth order degenerate parabolic equation involving variable exponent. Under some assumptions on the initial value, we construct approximate solutions by using the time-discrete method. By means of uniform estimates on these approximate solutions, we establish the existence of weak solutions
出处
《数学的实践与认识》
CSCD
北大核心
2013年第10期234-240,共7页
Mathematics in Practice and Theory
基金
广西自然科学基金(0991265)
广西教育厅科研项目(201204LX502)
关键词
变指数
抛物方程
弱解
存在性
variable exponent
parabolic equation
weak solution
existence
