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| 摘要: |
| 讨论了拟线性抛物方程具有第3类非线性边界条件混合问题解的爆破,研究了其古典解,在对混合问题中的f和g作出适当假设的前提下,证明了上述混合问题的解在有限时刻爆破.该结论放宽了对假设条件的限制. |
| 关键词: 拟线性抛物方程 混合问题 爆破 |
| DOI： |
| 分类号:O175.26 |
| 基金项目: |
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| The blow-up of the solution of the quasilinear parabolic equation |
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LEI Lan
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| Abstract: |
| In this paper,the blow-up of mix problem under the third nonlinear boundary condition for a kind of quasilinear parabolic equations is discused,and its classicality solution is researched.Under some hypothesis conditions to f and g,it's proved that the so |
| Key words: quasilinear parabolic equation,mix problem,blow-up |
