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一类半线性伪抛物方程整体解的存在唯一性
引用本文:吴秀兰,曾有栋. 一类半线性伪抛物方程整体解的存在唯一性[J]. 贵州大学学报(自然科学版), 2014, 31(4): 14-17
作者姓名:吴秀兰  曾有栋
作者单位:福州大学数学与计算机科学学院,福建福州,350108
摘    要:本文考虑一类半线性伪抛物方程的初边值问题,在一定条件的假设下,利用Galerkin方法证明问题存在唯一整体强解。

关 键 词:半线性伪抛物方程  整体强解  存在性  Galerkin方法

The Existence and Uniqueness of the Global Solutions for a Class Semilinear Pseudoparabolic Equation
WU Xiu-lan,ZENG You-dong. The Existence and Uniqueness of the Global Solutions for a Class Semilinear Pseudoparabolic Equation[J]. Journal of Guizhou University(Natural Science), 2014, 31(4): 14-17
Authors:WU Xiu-lan  ZENG You-dong
Affiliation:( College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China)
Abstract:An initial boundary value problem for a class of similinear pseudoparabolic equation was considered.Under some assumptions,the existence and uniqueness of the global solution of the problem were proved by the use of Galerkin method.
Keywords:semilinear pseudoparabolic  global strong solutions  existence  Galerkin method
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