| 文如庆.四阶半线性热方程解的blow-up[J].数学研究及应用,1991,11(3):419~424 |
| 四阶半线性热方程解的blow-up |
| The blow -up of the Solution of the Fourth-Order Semilinear Heat Equation |
| 投稿时间：1989-09-12 |
| DOI：10.3770/j.issn:1000-341X.1991.03.023 |
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| 摘要点击次数: 1865 |
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| 中文摘要: |
| 在这篇文章中,我们研究四阶半线性热方程在已给初边界条件下解的爆破,我们利用凸性方法证明了上述问题的解,在有限时内变为无穷,假若α(x,t),αij(x),f(u,△tu)与初边值满足某些条件. |
| 英文摘要: |
| In this paper, we study the blow-up of the solution of the fourth-order semilinear heat equationwith given initial and boundary condition . Using concavity method, we proved that che solution of above problems become infinite in finite time, provided a(x,t) , aij(x) , f(u,Δtu) and initial-boundary-value satisfy some conditions . |
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