| 一类交叉耦合抛物型方程组解的渐近性态 |
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| 引用本文： | 薛应珍. 一类交叉耦合抛物型方程组解的渐近性态[J]. 纺织高校基础科学学报, 2017, 30(1). DOI: 10.13338/j.issn.1006-8341.2017.01.008 |
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| 作者姓名： | 薛应珍 |
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| 作者单位： | 西安外事学院商学院,陕西西安,710077 |
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| 基金项目： | 陕西省自然科学基础研究计划项目，陕西省教育厅科学研究计划项目，陕西省教育科学十三五规划课题 |
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| 摘 要： | 研究了一类交叉耦合抛物型方程组解的整体存在及爆破问题.首先构造方程组的上、下解,再利用比较定理,得到由幂函数和对数函数完全耦合的退化抛物型方程组解的整体存在及解在有限时刻爆破的充分条件.
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| 关 键 词： | 交叉抛物型方程组 上下解 比较原理 解的渐近性态 |
Asymptotic behavior of a parabolic equations cross coupled terms |
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| XUE Yingzhen. Asymptotic behavior of a parabolic equations cross coupled terms[J]. Basic Sciences Journal of Textile Universities, 2017, 30(1). DOI: 10.13338/j.issn.1006-8341.2017.01.008 |
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| Authors: | XUE Yingzhen |
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| Abstract: | The global existence and blow-up in finite time problems of solutions to a class of a parabolic equations cross coupled terms are studied.By using comparison principle and the upper-lower solution method,the sufficient conditions for the global existence and blow-up in finite time of solution to the fully coupled by power function and logarithmic function degenerate parabolic equations are established. |
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| Keywords: | parabolic equations cross coupled terms upper-lower solution the comparison principle asymptotic behavior of solutions |
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