Approximately solving the Cauchy problem for the wave equation by the method of differential operators of infinite order
type: Item
instance of: scholarly article
title: Approximately solving the Cauchy problem for the wave equation by the method of differential operators of infinite order
zbMATH Open document ID: 0683.65082
author: Tran Duc Van
author: Nguyen Duy Thai Son
author: Dinh Dũng
published in: Acta Mathematica Vietnamica
publication date: 1988-01-01T00:00:00Z
review text: The authors consider the Cauchy problem for the wave equation and present a new method for finding an approximate solution for such equation. The proposed method is based on the nonformal algebra of differential operators of infinite order in corresponding Sobolev spaces of infinite order. It is shown that using the proposed method one can obtain an approximate solution with arbitrary accuracy.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 4119549
zbMATH Keywords: Cauchy problem
zbMATH Keywords: wave equation
zbMATH Keywords: nonformal algebra of differential operators of infinite order
zbMATH Keywords: Sobolev spaces of infinite order
reviewed by: Jiří Vaníček
MaRDI profile type: Publication
Recommended article: Q3828406
Recommended article: Q3537317
Recommended article: Q3541344
Recommended article: The Cauchy problem for the wave equation using the decomposition method
Recommended article: Behavior at infinity of the solution of a generalized Cauchy problem for the wave equation
Recommended article: Q5383098
Recommended article: Q5464393
Recommended article: Cauchy problem for evolutionary equations with differentiation operator of infinite order
Recommended article: Cauchy problem for evolution equations with an infinite-order differential operator. II.
Recommended article: Q4533290
description: scientific article; zbMATH DE number 4119549