| 一般非线性扩散方程Cauchy问题广义解的渐近性质 |
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| 引用本文： | 皮上超,张建林,李海峰.一般非线性扩散方程Cauchy问题广义解的渐近性质[J].数学杂志,2010,30(2). |
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| 作者姓名： | 皮上超 张建林 李海峰 |
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| 作者单位： | 中原工学院理学院数学系,河南,郑州,450007 |
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| 基金项目： | 国家自然科学基金资助，河南省教育厅自然科学基础研究基金资助 |
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| 摘 要： | 本文研究了比较一般的非线性扩散方程的Cauchy问题广义解的渐近性质.利用试验函数与积分估计的方法,获得了广义解当t→∞时的渐近性质以及其广义整体解u(x,t),推广了该类方程Cauchy问题广义解的性质.
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| 关 键 词： | 一般非线性扩散方程 Cauchy问题 广义解 渐近性质 |
THE ASYMPTOTIC PROPERTY OF GENERALIZED SOLUTIONS TO CAUCHY PROBLEM FOR GENERAL NONLINEAR DIFFUSION EQUATIONS |
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| PI Shang-chao,ZHANG Jian-lin,LI Hai-feng.THE ASYMPTOTIC PROPERTY OF GENERALIZED SOLUTIONS TO CAUCHY PROBLEM FOR GENERAL NONLINEAR DIFFUSION EQUATIONS[J].Journal of Mathematics,2010,30(2). |
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| Authors: | PI Shang-chao ZHANG Jian-lin LI Hai-feng |
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| Institution: | PI Shang-chao1,ZHANG Jian-lin1,LI Hai-feng1(Department of Mathematics,Zhongyuan University of Technology,Zhengzhou 450007,China) |
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| Abstract: | This article studies the asymptotic property of generalized solutions to Cauchy problem for general nonlinear diffusion equations as t →∞. By using test function and integral estimates, we obtain its global generalized solution u(x,t) and promote the property of the generalized solution of the Cauchy problem of such equations. |
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| Keywords: | general nonlinear diffusion equations Cauchy problem generalized solutions asymptotic property |
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