| 金春花,尹景学.具非线性源的非散度型扩散方程的临界指标[J].数学年刊A辑,2009,30(4):525~538 |
| 具非线性源的非散度型扩散方程的临界指标 |
| Critical Exponent of a Doubly Degenerate Parabolic Equation in Non-divergence Form with Nonlinear Sources |
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| DOI： |
| 中文关键词: 临界指标 退化 爆破 熄灭 |
| 英文关键词:Critical exponent, Degenerate, Blow-up, Extinction |
| 基金项目:国家自然科学基金，教育部博士点基金(No.200801830001)资助的项目 |
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| 中文摘要: |
| 主要研究一类具非线性源的非散度型扩散方程的渐近性质.在研究非线性源指数的临界指标理论的同时,也讨论了解的不熄灭性. |
| 英文摘要: |
| This paper is concerned with a doubly degenerate
parabolic equation in non-divergence form with nonlinear sources. It is shown that
there is a critical value for the exponent of the nonlinear source. Also
the non-extinction property of solutions is discussed. |
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