| 关于奇性退脱双曲方程的混合问题 |
| |
| 引用本文： | 张全德.关于奇性退脱双曲方程的混合问题[J].陕西师范大学学报,1988(2). |
| |
| 作者姓名： | 张全德 |
| |
| 作者单位： | 陕西师大数学系 |
| |
| 摘 要： | 本文运用拟微分算子和方法,证明了奇异退脱双曲方程的混合问题的广义解的存在性与唯一性.并运用空间的性质及嵌入定理,在一定的假设下证明了光滑解的存在与唯一性.
|
| 关 键 词： | 拟微分算子 广义解 光滑解 存在性 唯一性 |
ON A MIXED PROBLEM FOR THE SINGULAR WEAKLY HYPERBOLIC EQUATIONS |
| |
| Zhang Quande.ON A MIXED PROBLEM FOR THE SINGULAR WEAKLY HYPERBOLIC EQUATIONS[J].Journal of Shaanxi Normal University: Nat Sci Ed,1988(2). |
| |
| Authors: | Zhang Quande |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | In the paper,by Galerkin's method and the method of pseudodifferential operators,the author has proved the existence and uniqueness of the generalized solution of the mixed problem of the singular degenerate hyperbolic equations.According to the property of So- bolev's space and embeding theorem,the author gives a smooth solution of the problem under some hypotheses. |
| |
| Keywords: | pseudodifferential operator generalized solution smooth solution existence uniqueness |
| 本文献已被 CNKI 等数据库收录！ |
