| 高阶半线性抛物型方程组的生命跨度 |
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| 引用本文： | 孙福芹,王明新.高阶半线性抛物型方程组的生命跨度[J].数学年刊A辑(中文版),2006(1). |
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| 作者姓名： | 孙福芹 王明新 |
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| 作者单位： | 天津工程师范学院数理系，徐州师范大学数学系，东南大学数学系 南京 210096，天津 300222，江苏 徐州 221116 |
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| 基金项目： | 国家自然科学基金(No．10471022)
教育部科技重点基金(No．104090)资助的项目． |
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| 摘 要： | 其中m,P,q>1．利用试验函数方法,首先推导一些积分不等式,然后对方程组爆破解的生命跨度 0,T)给出估计．
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| 关 键 词： | 高阶抛物型方程组 爆破 生命跨度 试验函数方法 |
Life Span of Blow-Up Solutions for a Higher-Order Semilinear Parabolic System |
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| SUN Fuqin WANG Mingxin.Life Span of Blow-Up Solutions for a Higher-Order Semilinear Parabolic System[J].Chinese Annals of Mathematics,2006(1). |
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| Authors: | SUN Fuqin WANG Mingxin |
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| Institution: | SUN Fuqin WANG Mingxin Department of Mathematics and Physics,Tianjin University of Technology and Education,Tianjin 300222,China. Department of Mathematics,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China, Department of Mathematics,Southeast University,Nanjing 210096,China. |
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| Abstract: | This paper studies the higher-order semilinear parabolic system where m,p, q > 1. By virtue of the test function method, the authors first derive some integral inequalities, and then give the estimate of the life span 0, T) of blow-up solution. |
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| Keywords: | Higher-order parabolic system Blow-up Life span Test function method |
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