| 具有非局部边界的退化抛物方程组的爆破解 |
| |
| 引用本文： | 杨婕,刘丙辰,张长城.具有非局部边界的退化抛物方程组的爆破解[J].数学杂志,2017,37(6):1275-1286. |
| |
| 作者姓名： | 杨婕 刘丙辰 张长城 |
| |
| 作者单位： | 中国石油大学(华东)理学院, 山东 青岛 266580,中国石油大学(华东)理学院, 山东 青岛 266580,中国石油大学(华东)理学院, 山东 青岛 266580 |
| |
| 基金项目： | 国家自然科学基金（11201483）；山东省自然科学基金（ZR2016AM12）；中央高校基本科研业务费专项资金（15CX08011A）. |
| |
| 摘 要： | 本文研究了具有非局部边界条件和非局部源的退化抛物方程组的弱解问题.利用基于比较原理的上下解的方法,在权函数和初始条件的假设下,获得了该方程组问题的爆破临界指标.此外,还获得了同时爆破解趋于爆破时间时的渐近行为,推广了已有的结果.
|
| 关 键 词： | 退化抛物方程组 临界指标 渐近行为 非局部边界 |
| 收稿时间： | 2016/2/12 0:00:00 |
| 修稿时间： | 2016/4/22 0:00:00 |
BLOW-UP SOLUTIONS TO DEGENERATE PARABOLIC EQUATIONS WITH NONLOCAL BOUNDARY |
| |
| Yang Jie,Liu Bing-chen and Zhang Chang-cheng.BLOW-UP SOLUTIONS TO DEGENERATE PARABOLIC EQUATIONS WITH NONLOCAL BOUNDARY[J].Journal of Mathematics,2017,37(6):1275-1286. |
| |
| Authors: | Yang Jie Liu Bing-chen and Zhang Chang-cheng |
| |
| Institution: | School of Science, China University of Petroleum, Qingdao 266580, China,School of Science, China University of Petroleum, Qingdao 266580, China and School of Science, China University of Petroleum, Qingdao 266580, China |
| |
| Abstract: | In this paper, we consider the weak solutions of the degenerate parabolic equations coupled via nonlocal sources, subject to nonlocal boundary conditions. By using the comparison principle, the critical blow-up exponent is obtained under the help of the weighted functions and the initial data. Moreover, asymptotic behavior near blow-up time is obtained for simultaneous blow-up solutions, which extends the known results in the previous paper. |
| |
| Keywords: | degenerate parabolic equations critical exponents asymptotic behavior nonlocal boundary |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
