| 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 |
| DOI： |
| 分类号:O175.26 |
| 基金项目:Supported by National Natural Science Foundation of China (11201483); Shandong Provincial Natural Science Foundation; the Fundamental Research Funds for the Central Universities. |
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| CRITICAL EXPONENTS IN POROUS MEDIA EQUATIONS WITH WEIGHTED NONLOCAL BOUNDARY CONDITIONS |
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LIU Bing-chen, ZHANG Chang-cheng
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College of Science, China University of Petroleum, Qingdao 266580, China
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| 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. |
| Key words: porous media parabolic equations nonlocal boundary condition blow up global existence |
