| 一类二阶抛物型方程初边值问题解的存在定理 |
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| 引用本文： | 冯艳青,王忠英,姚俊,文传军.一类二阶抛物型方程初边值问题解的存在定理[J].数学杂志,2017,37(5):1075-1080. |
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| 作者姓名： | 冯艳青 王忠英 姚俊 文传军 |
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| 作者单位： | 常州工学院数理与化工学院, 江苏常州 213000,常州工学院数理与化工学院, 江苏常州 213000,常州工学院数理与化工学院, 江苏常州 213000,常州工学院数理与化工学院, 江苏常州 213000 |
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| 摘 要： | 本文研究了一类二阶非线性抛物型方程解的存在唯一性问题.利用非线性分析中的吸引盆理论和同胚理论,获得了相应的二阶非线性抛物型方程初边值问题解的大范围存在唯一性定理.
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| 关 键 词： | 二阶抛物型方程 初边值问题 吸引盆 全局同胚 |
| 收稿时间： | 2016/12/1 0:00:00 |
| 修稿时间： | 2017/3/8 0:00:00 |
A EXISTENCE THEOREM FOR SOME SECOND ORDER PARABOLIC INITIAL-BOUNDARY VALUE PROBLEMS |
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| FENG Yan-qing,WANG Zong-ying,YAO Jun and WEN Chuan-jun.A EXISTENCE THEOREM FOR SOME SECOND ORDER PARABOLIC INITIAL-BOUNDARY VALUE PROBLEMS[J].Journal of Mathematics,2017,37(5):1075-1080. |
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| Authors: | FENG Yan-qing WANG Zong-ying YAO Jun and WEN Chuan-jun |
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| Institution: | School of Mathematics and Chemical Engineering, Changzhou Institute of Technology, Changzhou 213000, China,School of Mathematics and Chemical Engineering, Changzhou Institute of Technology, Changzhou 213000, China,School of Mathematics and Chemical Engineering, Changzhou Institute of Technology, Changzhou 213000, China and School of Mathematics and Chemical Engineering, Changzhou Institute of Technology, Changzhou 213000, China |
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| Abstract: | In this paper, an a priori estimate for a second order linear parabolic operators is established. By using the basin of attraction and homeomorphism, a new sufficient condition of the existence and uniqueness of an initial boundary value problem for a second order parabolic equations is proved. This idea can be applied some semi-linear partial differential equations. |
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| Keywords: | second order parabolic equation initial-boundary value problem the basin of attraction homeomorphism |
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