| 具有加权非局部边界条件的多孔介质方程组的临界指标问题 |
| |
| 引用本文： | 刘丙辰,张长城.具有加权非局部边界条件的多孔介质方程组的临界指标问题[J].数学杂志,2015,35(1):51-62. |
| |
| 作者姓名： | 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 |
| |
| 基金项目： | National Natural Science Foundation of China，Shan-dong Provincial Natural Science Foundation，the Fundamental Research Funds for the Central Universi-ties |
| |
| 摘 要： | 本文研究了具有非局部边界条件和非线性内部源的多孔介质抛物型方程组问题。利用比较原理，获得了权函数和系数对整体解和爆破解的影响，并得到了解的爆破临界指标，推广了先前的研究结果。
|
| 关 键 词： | 多孔介质方程组 非局部边界条件 爆破 整体存在 |
| 收稿时间： | 2013/11/10 0:00:00 |
| 修稿时间： | 2014/4/18 0:00:00 |
CRITICAL EXPONENTS IN POROUS MEDIA EQUATIONS WITH WEIGHTED NONLOCAL BOUNDARY CONDITIONS |
| |
| LIU Bing-chen and ZHANG Chang-cheng.CRITICAL EXPONENTS IN POROUS MEDIA EQUATIONS WITH WEIGHTED NONLOCAL BOUNDARY CONDITIONS[J].Journal of Mathematics,2015,35(1):51-62. |
| |
| Authors: | LIU Bing-chen and ZHANG Chang-cheng |
| |
| Institution: | College of Science, China University of Petroleum, Qingdao 266580, China and College of Science, China University of Petroleum, Qingdao 266580, China |
| |
| Abstract: | This paper deals with a class of porous media parabolic equations coupled via nonlinear norm-type sources, subject to nonlocal boundary conditions. We show the influences of weighted functions and the coefficients on global existence and blow-up of solutions. Moreover, the critical blow-up exponents are obtained by using the comparison principle, which gives some new results for the previous published papers. |
| |
| Keywords: | porous media parabolic equations nonlocal boundary condition blow up global existence |
| 本文献已被 万方数据 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 |
