The method of Frobenius to Fuchsian partial differential equations
The method of Frobenius to Fuchsian partial differential equations
复制标题
Frobenius法求解Fuchsian偏微分方程
DOI：
10.2969/jmsj/05230645
复制
发表时间：
2000
影响因子：
0.7
通讯作者：
T. Mandai
中科院分区：
文献类型：
--
作者：
T. Mandai
对于M. S. Baouendi和C. Goulaouic方法是常微分方程在一点处具有正则奇异性的自然推广，该方法与Frobenius方法是沿着同一条线构造复域上的所有解，而不需要对特征指数作任何假设。同样的思想也可以应用于H.田原
To Fuchsian partial differential equations in the sense of M.S. Baouendi and C. Goulaouic, which is a natural extension of ordinary differential equations with regular singularity at a point, all the solutions in a complex domain are constructed along the same line as the method of Frobenius to ordinary differential equations, without any assumptions on the characteristic exponents. The same idea can be applied to Fuchsian hyperbolic equations considered by H. Tahara.
DOI：
--
发表时间：
2006
期刊：
影响因子：
--
作者：
M.Mimura;T.Miyaji and I.Ohnishi;S.KAWANO and S.KONISIiI;T. Oshima
通讯作者：
T. Oshima