A probability method for the solution of the telegraph equation with real-analytic initial conditions

被引：0

作者：

Turbin A.F. ^{[1
]}

Samoilenko I.V. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 2000年 / 52卷 / 8期

关键词：

Cauchy Problem; Telegraph Equation; Random Evolution; Markov Random Evolution;

D O I：

10.1023/A:1010313423230

中图分类号：

学科分类号：

摘要：

We propose a method for the construction of an analytic solution of the Cauchy problem for the telegraph equation that is based on its simulation by a one-dimensional Markov random evolution. © 2000 Plenum Publishing Corporation. We present explicit formulas for α-primitive elements in the generalized Verma module, which generalize the known formulas for primitive elements in the Verma modules. © 2000 Plenum Publishing Corporation.

引用

页码：1292 / 1299

页数：7

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