On the Bitsadze-Samarskij problem for hyperbolic equations
type: Item
instance of: scholarly article
title: On the Bitsadze-Samarskij problem for hyperbolic equations
zbMATH Open document ID: 0837.35081
author: G. V. Virabyan
published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
publication date: 1996-05-19T00:00:00Z
review text: The author proves the existence of a unique solution of the wave equation \(u_{xx}- u_{yy}= 0\) on the rectangle \((- 1,1)\times (- 1,1)\) satisfying Bitsadze-Samarskij type of boundary conditions (one of them is given on the abscissa \(x= r\)) for rational \(r\) and the existence of the solution for irrational \(r\). He also gives infinitely many polynomial solutions of the generalized Bitsadze-Samarskij problem on the unit circle.
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 816202
zbMATH Keywords: generalized Bitsadze-Samarskij problem
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 816202