[1]汤林冰,詹华税.一类抛物型偏微分方程的W1.12弱解存在性[J].集美大学学报(自然科学版),2013,18(5):373-376.
                
                 TANG Lin-bing,ZHAN Hua-shui.W1.12-Weak Solution Existence About Some Parabolic Equation[J].Journal of Jimei University,2013,18(5):373-376.
            
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                一类抛物型偏微分方程的W1.12弱解存在性(PDF) 
                        
        
        
            
                《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
            
              - 卷:
 
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                    第18卷
 
                - 期数:
 
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                    2013年第5期
 
            
            
                - 页码:
 
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                    373-376
 
            
            
                - 栏目:
 
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                    数理科学与信息工程
 
            
            
                - 出版日期:
 
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                    2013-09-25
 
            
         
        
            
                文章信息/Info
            
                - Title:
 
                - 
                    W1.12-Weak Solution Existence About Some Parabolic Equation
 
            
            
            
                - 作者:
 
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                    汤林冰1; 詹华税1; 2
 
                - 
                    (1.集美大学理学院,福建 厦门 361021 ;2.厦门理工学院应用数学学院,福建 厦门 361024 )
 
            
            
                - Author(s):
 
                - 
                    TANG Lin-bing1; ZHAN Hua-shui1; 2
 
                - 
                    (1.School of Science,Jimei University,Xiamen 361021,China;2.Department of Mathematics,Xiamen University of Technology,Xiamen 361024,China)
 
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                - 关键词:
 
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                    抛物型偏微分方程; 弱极值原理; W1.12弱解; 存在性
 
            
            
                - Keywords:
 
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                    parabolic equation; week extremum principle;  W1.12-weak solution; existence
 
            
            
                - 分类号:
 
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                    -
 
            
            
                - DOI:
 
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                - 文献标志码:
 
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                - 摘要:
 
                - 
                    研究了一类更广的抛物型偏微分方程L,的弱极值原理,并分别用泛函和改进的Galerkin方法讨论其W1.12弱解存在性.其中:φ(u)是一个严格单调上升且具有正的上、下界导函数的函数;(aij)满足一般的一致抛物条件.
 
            
            
                - Abstract:
 
                - 
                    Functional method and advanced Galerkin method were used to discuss the existence of W1.12weak solution of the parabolic equation: and its week extremum principle was proved. Where φ(u) was strictly monotone function,which derived function had negative lower bound and upper bound,(aij) satisfied general uniform parabolic condition.
 
            
         
        
            
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            更新日期/Last Update:
            2014-06-28