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| 一类拟线性退化抛物方程的Cauchy问题 | |
| 引用本文： | 过凯元. 一类拟线性退化抛物方程的Cauchy问题[J]. 数学研究, 2010, 43(3): 279-285 |
| 作者姓名： | 过凯元 |
| 作者单位： | 厦门海洋职业技术学院,福建,厦门361021 |
| 摘 要： | 对方程α（xx）u＋uαyu-αtu=f（·,u）,（x,y,t）∈R^2×（0,T）的Cauchy问题,给出了一个整体BV-弱解的定义,证明了该弱解的连续性. |
| 关 键 词： | 退化抛物方程 连续性 Cauchy问题 |
On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation |
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| Guo Kaiyuan. On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation[J]. Journal of Mathematical Study, 2010, 43(3): 279-285 | |
| Authors: | Guo Kaiyuan |
| Affiliation: | Guo Kaiyuan (Department of Basic Science,Xiamen Ocean Vocational College,Xiamen Fujian 361012) |
| Abstract: | The Cauchy Problem of the equation α（xx）u＋uαyu-αtu=f（·,u）,（x,y,t）∈R^2×（0,T]is considered.We give the definition of the golbal BV-solution and prove the solution is continuous. |
| Keywords: | degenerate parabolic equation continuty cauchy problem |
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