| 广义非线性拟抛物型和拟双曲型方程的爆破性质 |
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| 引用本文： | 田应辉.广义非线性拟抛物型和拟双曲型方程的爆破性质[J].四川师范大学学报(自然科学版),1993(4). |
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| 作者姓名： | 田应辉 |
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| 作者单位： | 西昌师范专科学校 四川省西昌市 |
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| 摘 要： | 本文使用“爆破因子”法,统一研究了包括经典形式和多种退化形式在内的广义非线性拟抛物型和拟双曲型方程具Dirichlet边界值和Neumann边界值的混合问题,得到了关于系统爆破的一系列较一般性的结果。
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| 关 键 词： | 广义非线性 拟抛物型方程 拟双曲型方程 爆破 爆破因子 |
THE BLOW-UP PROPERTIES OF GENERALIZED NONLINEAR PSEUDO-PARABOLIC AND PSEUDO-HYPERBOLIC EQUATIONS |
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| Tian Yinghui.THE BLOW-UP PROPERTIES OF GENERALIZED NONLINEAR PSEUDO-PARABOLIC AND PSEUDO-HYPERBOLIC EQUATIONS[J].Journal of Sichuan Normal University(Natural Science),1993(4). |
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| Authors: | Tian Yinghui |
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| Abstract: | By using the methods to determine the "blow-up factor", we discuss the mixed problems of generalized nonlinear pseudo-parabolic and pseudo-hyperbolic equations with Dirichlet boundary value and Neuman boundany value, which include the classical forms and various degenerate forms. A series of more general results on the blowup properties of the systems are obtained. |
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| Keywords: | generalized nonlinear pseudo-parabolic equation pseudo-hyperbolic equation blow-up blow-up factor |
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