具变指数非线性拟抛物方程弱解的存在性  

The Existence of Weak Solutions for a Nonlinear Pseudoparabolic Equation with Variable Exponent

作　　者：郭金勇[1] 

机构地区：[1]柳州师范高等专科学校数学与计算机科学系,广西柳州545004

出　　处：《数学的实践与认识》2012年第12期222-229,共8页Mathematics in Practice and Theory

摘　　要：虑一类变指数的非线性拟抛物方程的初值问题.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.We consider an initial-boundary value problem for a class of nonlinear pseu- doparabolic 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.

关 键 词：变指数 非线性拟抛物方程 弱解 存在性 

分 类 号：O175.26[理学—数学]