| 关于双非线性抛物组解的有界性 |
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| 引用本文： | 梁廷. 关于双非线性抛物组解的有界性[J]. 洛阳师范学院学报, 1997, 0(5) |
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| 作者姓名： | 梁廷 |
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| 作者单位： | 中山大学数学系!广州510275 |
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| 摘 要： | 单个双非线性抛物方程解的有界性结果推广到对角型双非线性抛物组情形时，无论对结构系数的可积性要求或对未知解的可积性要求．都要相应加强，本文考虑一类特殊结构双非线性对角型抛物组，在相应于单个双非线方程情形的同样可积性限制下，得到解的有界性。
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| 关 键 词： | 双非线性抛物组 对角型组 广义解 有界解 |
On the Boundedness of Solutions of Doubly Nonlinear Parabolic Systems |
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| Liang Xiting. On the Boundedness of Solutions of Doubly Nonlinear Parabolic Systems[J]. Journal of Luoyang Teachers College, 1997, 0(5) |
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| Authors: | Liang Xiting |
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| Abstract: | Although the boundedness results for solutions of single doubly nonlinear parabolic equations can be extended to that of doubly nonlinear parabolic systems in diagonal form, the integrability restrictions on the stuctural coefficients and on the unknown solutions are needed to be stiengthened. In this paper a special case of doubly nonlinear parabolic systens is considered and the boundedness for solutions is obtained under the same integrability restrictions as the single equation case. |
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| Keywords: | doubly nonlinear parabolic system diagonal form system generalized solution bounded solution |
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