| 拟线性抛物型方程广义解的弱最大值原理与局部有界性 |
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| 引用本文： | 高成修,王向东.拟线性抛物型方程广义解的弱最大值原理与局部有界性[J].西北师范大学学报,1992,28(2):8-19. |
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| 作者姓名： | 高成修 王向东 |
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| 作者单位： | 武汉大学数学系，许昌师专数学系，中山大学数学系 四川大学数学研究所 |
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| 摘 要： | 对一类较为广泛的拟线性抛物型方程,证明了其广义解成立弱最大值原理;然后在该方程的未知解满足适当可积性的假设下证明了解的局部有界性,进而也得到了解的Holder连续性。
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| 关 键 词： | 抛物型方程 拟线性 有界性 广义解 |
The Weak Maximum Principle and Local Boundedness for Generalized Solutions of Quasi-Linear Parabolic Equations |
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| Gao Chengxiu,Wang Xiangdong,Liang Xiting Wuhan University Xuchang Teachers'''' College Zhongshan University.The Weak Maximum Principle and Local Boundedness for Generalized Solutions of Quasi-Linear Parabolic Equations[J].Journal of Northwest Normal University Natural Science (Bimonthly),1992,28(2):8-19. |
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| Authors: | Gao Chengxiu Wang Xiangdong Liang Xiting Wuhan University Xuchang Teachers' College Zhongshan University |
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| Institution: | Gao Chengxiu;Wang Xiangdong;Liang Xiting Wuhan University Xuchang Teachers' College Zhongshan University |
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| Abstract: | A class of quasi-linear parlbolic equation is dicussed and the weak maximum prin-ciple and local boundedness is proved for the generalized solutions. |
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| Keywords: | parabolic equation generalized solution weak maximum principle boundedness Holder continuity |
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