一类四阶抛物型方程的初边值问题  

The Initial Boundary Problem of a Class of Parabolic Equations of Four-order

作　　者：李文清[1,2] 张能伟[3] 

机构地区：[1]郑州大学数学系,河南郑州450052 [2]河南工程学院数理科学系,河南郑州451191 [3]安阳师范学院数学与统计学院,河南安阳455002

出　　处：《河南工程学院学报（自然科学版）》2011年第1期78-80,共3页Journal of Henan University of Engineering：Natural Science Edition

摘　　要：利用Galerkin方法,讨论了一类四阶抛物型方程的初边值问题,在初值函数u0(x)和F(x,t)满足一定条件下,得到此类问题的整体广义解和古典解.In this research, the initial boundary value problem of a class four orders Parabolic Equations is considered. By using the Galerkin method, suppose that initial value and meet some conditions, we can obtain the existence and uniqueness of the global solution to the Initial Value problem.

关 键 词：初边值问题 GALERKIN方法 整体广义解 

分 类 号：O175.29[理学—数学]