On some boundary value problems for linear multidimensional hyperbolic equations of the second order

• Date: 1991
• Main Authors: Aldashev , S. A., Алдашев , С. А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1991
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9624
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the linear hyperbolic equations \[\sum_{i,j=1}^{m+1} a_{ij}(x,x_{m+1})u_{x_ix_j}+\sum_{i=1}^{m+1} a_i(x,x_{m+1})u_{x_i}+c(x,x_{m+1})u=0, \] \[x=(x_1,\dots,x_m), \, m\geq2\] the correctness of multidimensional analogues of the problems of Darboux and Goursat is established and a theorem on the un...