| 一类含有多重非线性项的双重退化抛物型方程组正解存在性 |
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| 引用本文： | 葛岩岩,王建,庞润宏. 一类含有多重非线性项的双重退化抛物型方程组正解存在性[J]. 中国海洋大学学报(自然科学版), 2011, 41(6): 125-129 |
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| 作者姓名： | 葛岩岩 王建 庞润宏 |
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| 作者单位： | 1. 中国海洋大学数学科学学院,山东,青岛,266100
2. 东宁电业局,黑龙江,牡丹江,157200 |
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| 基金项目： | 国家自然科学基金项目，高校基本科研业务费青年教师科研专项基金项目 |
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| 摘 要： | 本文主要讨论了含有内部源和非线性边界流耦合的双重退化非线性抛物型方程组解的整体存在和爆破性质,在合理的假设下,通过比较原理得到该方程组的所有正解整体存在的充分必要条件。
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| 关 键 词： | 双重退化抛物型方程组 全局存在性 爆破 内部源 非线性边界流 |
Existence of Positive Solutions for A Class of Doubly Degenerate Parabolic System with Multi-Coupled Nonlinearities |
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| GE Yan-Yan,WANG Jian,PANG Run-Hong. Existence of Positive Solutions for A Class of Doubly Degenerate Parabolic System with Multi-Coupled Nonlinearities[J]. Periodical of Ocean University of China, 2011, 41(6): 125-129 |
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| Authors: | GE Yan-Yan WANG Jian PANG Run-Hong |
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| Affiliation: | GE Yan-Yan1,WANG Jian1,PANG Run-Hong2(1.School of Mathematical Science,Ocean University of China,Qingdao 266100,China,2.Dongning Electric Power Bureau,Mudanjiang 157200,China) |
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| Abstract: | This paper studys the global existence and blow-up of solutions of doubly degenerate parabolic system coupled with local source and nonlinear boundary flux.Under appropriate hypotheses,by a weak comparison principle,necessary and sufficient conditions on the global existence of all positive solutions are obtained. |
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| Keywords: | doubly degenerate parabolic system global existence blow-up local source nonlinear boundary flux |
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